Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ ln(sqrt({x}^{(x + 1)} + x))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(sqrt({x}^{(x + 1)} + x))\right)}{dx}\\=&\frac{(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{(sqrt({x}^{(x + 1)} + x))({x}^{(x + 1)} + x)^{\frac{1}{2}}}\\=&\frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{1}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{1}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)}\right)}{dx}\\=&\frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln(x)}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{2xsqrt({x}^{(x + 1)} + x)} + \frac{-{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}})}{2sqrt({x}^{(x + 1)} + x)} + \frac{-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}}\\=&\frac{-{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}x} - \frac{1}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{1}{4({x}^{(x + 1)} + x)^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x} - \frac{{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}x} - \frac{1}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{1}{4({x}^{(x + 1)} + x)^{2}}\right)}{dx}\\=&\frac{-(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln^{2}(x)}{4sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln(x)}{2sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln(x)}{2xsqrt({x}^{(x + 1)} + x)} - \frac{-{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x(x)sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}ln(x)}{2sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln^{2}(x)}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*2ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln(x)}{sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln(x)}{xsqrt({x}^{(x + 1)} + x)} + \frac{-{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x(x)sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{2xsqrt({x}^{(x + 1)} + x)} + \frac{3*-{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln^{2}(x)}{4} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{2}(x)} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln(x)}{2} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}(x)} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln(x)}{2x} - \frac{-{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x(x)} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}ln(x)}{2} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}(x)} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{4sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{2xsqrt({x}^{(x + 1)} + x)} - \frac{-{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}}{2sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{4} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{4x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}}{2} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{2}} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}}{2xsqrt({x}^{(x + 1)} + x)} - \frac{-{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{2x} - \frac{-{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{2}x} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{4x^{2}} - \frac{-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{3}} - \frac{({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}}{2x} - \frac{-{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{2}x} - \frac{(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}})}{4sqrt({x}^{(x + 1)} + x)} - \frac{-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}})}{4}\\=&\frac{3{x}^{(2x + 2)}ln^{3}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{21{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{45{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}} + \frac{5{x}^{(2x + 2)}ln^{3}(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x} + \frac{15{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{3}x} - \frac{3{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} + \frac{15{x}^{(x + 1)}ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{3{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{21{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} + \frac{15{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{9{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}} + \frac{5{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{3}} - \frac{3{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{2}} + \frac{45{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x} - \frac{3{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{2}x} + \frac{5{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{3}} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} + \frac{15{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}x} + \frac{3}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{5}{8({x}^{(x + 1)} + x)^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{3{x}^{(2x + 2)}ln^{3}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{21{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{45{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}} + \frac{5{x}^{(2x + 2)}ln^{3}(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x} + \frac{15{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{3}x} - \frac{3{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} + \frac{15{x}^{(x + 1)}ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{3{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{21{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}} + \frac{15{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{9{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}} + \frac{5{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{3}} - \frac{3{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{2}} + \frac{45{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x} - \frac{3{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{2}x} + \frac{5{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{3}} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} + \frac{15{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}x} + \frac{3}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{5}{8({x}^{(x + 1)} + x)^{3}}\right)}{dx}\\=&\frac{3(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln^{3}(x)}{8sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{3}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}*3ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}ln^{3}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln^{2}(x)}{4sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln^{2}(x)}{8xsqrt({x}^{(x + 1)} + x)} + \frac{9*-{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}*2ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln^{3}(x)}{4sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{3}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}*3ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln^{3}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln^{2}(x)}{4sqrt({x}^{(x + 1)} + x)} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln^{2}(x)}{4xsqrt({x}^{(x + 1)} + x)} - \frac{9*-{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x(x)sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{21(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln(x)}{4xsqrt({x}^{(x + 1)} + x)} - \frac{21*-{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{21({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{21{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x(x)sqrt({x}^{(x + 1)} + x)} - \frac{21{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{27(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln(x)}{8sqrt({x}^{(x + 1)} + x)} + \frac{27({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln(x)}{2xsqrt({x}^{(x + 1)} + x)} + \frac{9*-{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}x(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln(x)}{4sqrt({x}^{(x + 1)} + x)} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}ln(x)}{8x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9*-2{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{xsqrt({x}^{(x + 1)} + x)} - \frac{3*-{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(x + 1)}ln(x)}{8sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}ln(x)}{2x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3*-2{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}(x)sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}ln(x)}{2xsqrt({x}^{(x + 1)} + x)} - \frac{3*-{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x(x)sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}ln^{2}(x)}{4sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}*2ln(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}ln(x)}{2sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}(x)sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln^{2}(x)}{2xsqrt({x}^{(x + 1)} + x)} + \frac{3*-{x}^{(x + 1)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}*2ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x(x)sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln^{3}(x)}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{3}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*3ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{3}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln(x)}{2xsqrt({x}^{(x + 1)} + x)} + \frac{9*-{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x(x)sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}}{4xsqrt({x}^{(x + 1)} + x)} - \frac{9*-{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln^{2}(x)}{2sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}*2ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}ln(x)}{2sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}(x)sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln(x)*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{45(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln(x)}{8} + \frac{45({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{45{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}(x)} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln^{2}(x)}{4} + \frac{15({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{3}(x)} + \frac{5(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln^{3}(x)}{8} + \frac{5({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{3}(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{5{x}^{(2x + 2)}*3ln^{2}(x)}{8({x}^{(x + 1)} + x)^{3}(x)} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln(x)}{2x} + \frac{15*-{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{15({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{3}x} + \frac{15{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{3}x(x)} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln^{2}(x)}{8x} + \frac{15*-{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{15({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{8({x}^{(x + 1)} + x)^{3}x} + \frac{15{x}^{(2x + 2)}*2ln(x)}{8({x}^{(x + 1)} + x)^{3}x(x)} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln^{3}(x)}{4} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{3}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(2x + 2)}*3ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}(x)} - \frac{9(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln^{2}(x)}{4} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{2}(x)} - \frac{9(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln^{2}(x)}{4x} - \frac{9*-{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{9{x}^{(2x + 2)}*2ln(x)}{4({x}^{(x + 1)} + x)^{2}x(x)} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}ln^{2}(x)}{4} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln^{2}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}*2ln(x)}{4({x}^{(x + 1)} + x)^{2}(x)} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(x + 1)}ln(x)}{8} + \frac{15({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}(x)} + \frac{3(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{xsqrt({x}^{(x + 1)} + x)} + \frac{3*-{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln(x)}{4} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{9{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}(x)} - \frac{21(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln(x)}{4x} - \frac{21*-{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{21({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{4({x}^{(x + 1)} + x)^{2}x} - \frac{21{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x(x)} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}ln(x)}{2} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}(x)} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}ln(x)}{8x^{2}} + \frac{15*-2{x}^{(2x + 2)}ln(x)}{8({x}^{(x + 1)} + x)^{3}x^{3}} + \frac{15({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{15{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{2}(x)} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{-2{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}ln(x)}{2x^{2}} - \frac{3*-2{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{3}} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x^{2}(x)} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}ln(x)}{2x} - \frac{3*-{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))ln(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{3{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{2}x(x)} - \frac{9(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{4x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{9*-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{27(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}}{8xsqrt({x}^{(x + 1)} + x)} + \frac{27*-{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{27({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}}{4x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9*-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}}{2sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(2x + 2)}}{4sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{3(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(2x + 2)}}{8x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{3*-3{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{4}sqrt({x}^{(x + 1)} + x)} + \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(x + 1)}}{8xsqrt({x}^{(x + 1)} + x)} + \frac{9*-{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}}{4x^{2}} + \frac{15*-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{3}x^{3}} + \frac{15({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{9(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}}){x}^{(x + 1)}}{8sqrt({x}^{(x + 1)} + x)} + \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} - \frac{9(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}}{4x} - \frac{9*-{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{9({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}x} - \frac{3(\frac{\frac{-3}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}}){x}^{(x + 1)}}{4sqrt({x}^{(x + 1)} + x)} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}}){x}^{(x + 1)}}{2sqrt({x}^{(x + 1)} + x)} + \frac{({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(x + 1)}}{8} + \frac{15({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{3}} + \frac{5(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}}{2} + \frac{5({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{2({x}^{(x + 1)} + x)^{3}} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{4} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(x + 1)}}{4} - \frac{3({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}} + \frac{45(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}}{8x} + \frac{45*-{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{45({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{3}x} - \frac{3(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{x} - \frac{3*-{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{({x}^{(x + 1)} + x)^{2}x} + \frac{5(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(2x + 2)}}{8x^{3}} + \frac{5*-3{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{4}} + \frac{5({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{3}x^{3}} - \frac{9(\frac{-2(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{3}}){x}^{(2x + 2)}}{4x^{2}} - \frac{9*-2{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{3}} - \frac{9({x}^{(2x + 2)}((2 + 0)ln(x) + \frac{(2x + 2)(1)}{(x)}))}{4({x}^{(x + 1)} + x)^{2}x^{2}} + \frac{15(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}}){x}^{(x + 1)}}{8x} + \frac{15*-{x}^{(x + 1)}}{8({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{15({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)}))}{8({x}^{(x + 1)} + x)^{3}x} + \frac{3(\frac{\frac{-5}{2}(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}})}{8sqrt({x}^{(x + 1)} + x)} + \frac{3*-(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)*\frac{1}{2}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}({x}^{(x + 1)} + x)({x}^{(x + 1)} + x)^{\frac{1}{2}}} + \frac{5(\frac{-3(({x}^{(x + 1)}((1 + 0)ln(x) + \frac{(x + 1)(1)}{(x)})) + 1)}{({x}^{(x + 1)} + x)^{4}})}{8}\\=&\frac{-15{x}^{(2x + 2)}ln^{4}(x)}{16({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(2x + 2)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(2x + 2)}ln^{4}(x)}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{12{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(2x + 2)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{153{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{99{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{117{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}ln^{4}(x)}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(2x + 2)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{63{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{51{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{21{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{105{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{30{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{21{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{6{x}^{(2x + 2)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{20{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{7}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{59{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(x + 1)}ln(x)}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{111{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{23{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{9{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{21{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{2{x}^{(x + 1)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{9{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{4{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{27{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}ln^{4}(x)}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{2{x}^{(x + 1)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{2{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} + \frac{12{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{195{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x} + \frac{105{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{15{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{3}x} - \frac{99{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{4}x} + \frac{25{x}^{(2x + 2)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{3}x} - \frac{33{x}^{(2x + 2)}ln^{3}(x)}{4({x}^{(x + 1)} + x)^{4}x} - \frac{99{x}^{(2x + 2)}ln(x)}{2({x}^{(x + 1)} + x)^{4}x^{2}} + \frac{15{x}^{(2x + 2)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{3}x^{2}} - \frac{2{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} + \frac{3{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{2{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{35{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{3}} + \frac{165{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}} + \frac{20{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{3}} + \frac{15{x}^{(x + 1)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}} - \frac{33{x}^{(2x + 2)}ln^{3}(x)}{2({x}^{(x + 1)} + x)^{4}} + \frac{25{x}^{(2x + 2)}ln^{4}(x)}{8({x}^{(x + 1)} + x)^{3}} - \frac{6{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}xsqrt({x}^{(x + 1)} + x)} + \frac{15{x}^{(x + 1)}ln(x)}{2({x}^{(x + 1)} + x)^{3}} - \frac{99{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{4}x} + \frac{255{x}^{(2x + 2)}ln^{2}(x)}{4({x}^{(x + 1)} + x)^{3}x} - \frac{33{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{4}x^{3}} + \frac{5{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{3}x^{3}} - \frac{7{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{2}x} - \frac{51{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{2}x} - \frac{6{x}^{(2x + 2)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{2}x} - \frac{231{x}^{(2x + 2)}ln(x)}{4({x}^{(x + 1)} + x)^{4}} - \frac{99{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{4}} - \frac{7{x}^{(2x + 2)}ln^{4}(x)}{4({x}^{(x + 1)} + x)^{2}} - \frac{7{x}^{(2x + 2)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}ln^{3}(x)}{({x}^{(x + 1)} + x)^{2}} - \frac{99{x}^{(2x + 2)}ln^{2}(x)}{8({x}^{(x + 1)} + x)^{4}x^{2}} + \frac{11{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{30{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{2}x} - \frac{20{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{9{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{2}x} - \frac{33{x}^{(x + 1)}ln(x)}{4({x}^{(x + 1)} + x)^{4}} - \frac{21{x}^{(2x + 2)}ln^{2}(x)}{2({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}ln^{2}(x)}{({x}^{(x + 1)} + x)^{2}} - \frac{33{x}^{(2x + 2)}ln^{4}(x)}{16({x}^{(x + 1)} + x)^{4}} + \frac{5{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}ln(x)}{({x}^{(x + 1)} + x)^{2}} - \frac{3{x}^{(x + 1)}ln(x)}{({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{1}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{105{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{45{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{2}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{3}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(2x + 2)}}{16({x}^{(x + 1)} + x)^{\frac{7}{2}}x^{4}sqrt({x}^{(x + 1)} + x)} - \frac{3{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}x^{4}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}xsqrt({x}^{(x + 1)} + x)} - \frac{23{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{2}x} - \frac{2{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{2}x^{3}} + \frac{45{x}^{(2x + 2)}}{({x}^{(x + 1)} + x)^{3}x^{2}} + \frac{45{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{3}x} + \frac{35{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{3}x^{3}} - \frac{231{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{4}x} - \frac{99{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{4}x^{2}} + \frac{185{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{3}x} - \frac{2{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{33{x}^{(2x + 2)}}{2({x}^{(x + 1)} + x)^{4}x^{3}} - \frac{165{x}^{(2x + 2)}}{16({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{51{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{7{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{15{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{59{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}x^{2}} - \frac{6{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{2}x} - \frac{33{x}^{(2x + 2)}}{16({x}^{(x + 1)} + x)^{4}x^{4}} - \frac{33{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{4}x} + \frac{9{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{\frac{5}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{\frac{3}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{{x}^{(x + 1)}}{2({x}^{(x + 1)} + x)^{\frac{1}{2}}sqrt({x}^{(x + 1)} + x)} + \frac{85{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}} - \frac{363{x}^{(2x + 2)}}{16({x}^{(x + 1)} + x)^{4}} + \frac{15{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{3}} - \frac{33{x}^{(x + 1)}}{4({x}^{(x + 1)} + x)^{4}} - \frac{7{x}^{(2x + 2)}}{4({x}^{(x + 1)} + x)^{2}} - \frac{{x}^{(x + 1)}}{({x}^{(x + 1)} + x)^{2}} - \frac{5{x}^{(2x + 2)}}{8({x}^{(x + 1)} + x)^{3}x^{4}} - \frac{15}{16({x}^{(x + 1)} + x)^{\frac{7}{2}}sqrt({x}^{(x + 1)} + x)} - \frac{33}{16({x}^{(x + 1)} + x)^{4}}\\ \end{split}\end{equation} \]