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 2 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ Xsqrt(\frac{(x - 1)(x - 2)}{(x - 3)(x - 4)})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = Xsqrt(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( Xsqrt(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})\right)}{dx}\\=&\frac{X(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})*\frac{1}{2}}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}}\\=&\frac{-Xx^{2}}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{Xx^{2}}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{Xx}{(x - 3)(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3Xx}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3Xx}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3X}{2(x - 4)(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{X}{(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{X}{(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-Xx^{2}}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{Xx^{2}}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{Xx}{(x - 3)(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3Xx}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3Xx}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3X}{2(x - 4)(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{X}{(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{X}{(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}}\right)}{dx}\\=&\frac{-(\frac{-(1 + 0)}{(x - 4)^{2}})Xx^{2}}{2(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{-2(1 + 0)}{(x - 3)^{3}})Xx^{2}}{2(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})Xx^{2}}{2(x - 4)(x - 3)^{2}} - \frac{X*2x}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{-(1 + 0)}{(x - 3)^{2}})Xx^{2}}{2(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{-2(1 + 0)}{(x - 4)^{3}})Xx^{2}}{2(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})Xx^{2}}{2(x - 3)(x - 4)^{2}} - \frac{X*2x}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{(\frac{-(1 + 0)}{(x - 3)^{2}})Xx}{(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})Xx}{(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})Xx}{(x - 3)(x - 4)} + \frac{X}{(x - 3)(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})Xx}{2(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{-2(1 + 0)}{(x - 3)^{3}})Xx}{2(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})Xx}{2(x - 4)(x - 3)^{2}} + \frac{3X}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})Xx}{2(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{-2(1 + 0)}{(x - 4)^{3}})Xx}{2(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})Xx}{2(x - 3)(x - 4)^{2}} + \frac{3X}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})X}{2(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})X}{2(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})X}{2(x - 4)(x - 3)} + 0 - \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})X}{(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{-2(1 + 0)}{(x - 3)^{3}})X}{(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})X}{(x - 4)(x - 3)^{2}} + 0 - \frac{(\frac{-(1 + 0)}{(x - 3)^{2}})X}{(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{-2(1 + 0)}{(x - 4)^{3}})X}{(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{(\frac{-(1 + 0)}{(x - 3)^{2}})x^{2}}{(x - 4)} + \frac{(\frac{-(1 + 0)}{(x - 4)^{2}})x^{2}}{(x - 3)} + \frac{2x}{(x - 3)(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 3)^{2}})x}{(x - 4)} - \frac{3(\frac{-(1 + 0)}{(x - 4)^{2}})x}{(x - 3)} - \frac{3}{(x - 3)(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 3)^{2}})}{(x - 4)} + \frac{2(\frac{-(1 + 0)}{(x - 4)^{2}})}{(x - 3)})}{(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}})X}{(x - 3)(x - 4)^{2}} + 0\\=&\frac{Xx^{2}}{2(x - 4)^{2}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{Xx^{2}}{(x - 3)^{3}(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{Xx^{4}}{4(x - 3)^{4}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{Xx^{4}}{4(x - 3)^{3}(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{Xx^{3}}{2(x - 3)^{3}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx^{3}}{2(x - 3)^{4}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx^{3}}{2(x - 3)^{3}(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{Xx^{3}}{2(x - 4)^{3}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{Xx^{4}}{4(x - 4)^{3}(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{Xx^{4}}{4(x - 4)^{4}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{Xx}{(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}(x - 4)} + \frac{Xx^{2}}{2(x - 3)^{2}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{Xx^{2}}{(x - 4)^{3}(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3Xx^{3}}{2(x - 4)^{3}(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx^{3}}{2(x - 4)^{4}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{Xx^{3}}{2(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{2}} + \frac{Xx^{3}}{2(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{3}} - \frac{13Xx^{2}}{4(x - 3)^{4}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{13Xx^{2}}{4(x - 3)^{3}(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{Xx}{(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}(x - 3)} - \frac{Xx}{(x - 3)^{2}(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{Xx}{(x - 4)^{2}(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3Xx^{2}}{2(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{2}} - \frac{3Xx^{2}}{2(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{3}} - \frac{Xx^{2}}{(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{2}} - \frac{9Xx^{2}}{4(x - 3)^{3}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{9Xx^{2}}{4(x - 4)^{3}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx}{2(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{2}} + \frac{Xx}{(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{2}} + \frac{Xx}{(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 4)^{3}} - \frac{3Xx}{2(x - 4)^{2}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3Xx}{(x - 3)^{3}(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{13Xx^{2}}{4(x - 4)^{3}(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{13Xx^{2}}{4(x - 4)^{4}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{13Xx}{4(x - 3)^{3}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx}{(x - 3)^{4}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx}{(x - 3)^{3}(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{3Xx}{2(x - 3)^{2}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3Xx}{(x - 4)^{3}(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{13Xx}{4(x - 4)^{3}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx}{(x - 4)^{3}(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{3Xx}{(x - 4)^{4}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{3Xx^{2}}{4(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{3}} - \frac{3Xx^{2}}{4(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{2}} + \frac{3Xx}{2(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{2}} + \frac{9Xx}{4(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{3}} + \frac{9Xx}{4(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{2}} + \frac{3X}{2(x - 4)(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{X}{(x - 3)(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3X}{2(x - 3)(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3X}{2(x - 4)^{2}(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{3X}{2(x - 3)^{2}(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{9X}{4(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{2}} + \frac{X}{(x - 4)^{2}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{2X}{(x - 3)^{3}(x - 4)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3X}{2(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{3}} - \frac{3X}{2(x - 3)^{3}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} + \frac{X}{(x - 3)^{2}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} + \frac{2X}{(x - 4)^{3}(x - 3)(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{1}{2}}} - \frac{3X}{2(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}(x - 3)^{2}} - \frac{X}{(x - 3)^{4}(x - 4)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{X}{(x - 3)^{3}(x - 4)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{3X}{2(x - 4)^{3}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{X}{(x - 4)^{3}(x - 3)^{3}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}} - \frac{X}{(x - 4)^{4}(x - 3)^{2}(\frac{x^{2}}{(x - 3)(x - 4)} - \frac{3x}{(x - 3)(x - 4)} + \frac{2}{(x - 3)(x - 4)})^{\frac{3}{2}}}\\ \end{split}\end{equation} \]