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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ (1 - (x + 0.05)) + {(x + 0.05)}^{(1.5 + y)}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x + (x + 0.05)^{(y + 1.5)} + 0.95\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - x + (x + 0.05)^{(y + 1.5)} + 0.95\right)}{dx}\\=& - 1 + ((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)})) + 0\\=&\frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - 1\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - 1\right)}{dx}\\=&(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)} + 1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)} + 0\\=&\frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)}\right)}{dx}\\=&\frac{-(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} - \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)} + \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)}\\=&\frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)}\right)}{dx}\\=&\frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{y^{3}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{1.5y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5(\frac{-(1 + 0)}{(x + 0.05)^{2}})y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{1.5y^{2}((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} - \frac{2.25((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25(\frac{-(1 + 0)}{(x + 0.05)^{2}})y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{2.25y((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375(\frac{-(1 + 0)}{(x + 0.05)^{2}})(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)} + \frac{3.375((x + 0.05)^{(y + 1.5)}((0 + 0)ln(x + 0.05) + \frac{(y + 1.5)(1 + 0)}{(x + 0.05)}))}{(x + 0.05)(x + 0.05)(x + 0.05)}\\=&\frac{-y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{y^{4}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{1.5y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{1.5y^{3}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{2.25y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{2.25y^{2}(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} - \frac{3.375(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{3.375y(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)} + \frac{5.0625(x + 0.05)^{(y + 1.5)}}{(x + 0.05)(x + 0.05)(x + 0.05)(x + 0.05)}\\ \end{split}\end{equation} \]