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 1 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ X + 0.73 - arctan(\frac{(0.5sin(0.5x)sin(0.54*3.14 - 0.5x) + 0.71(0.15 - 0.125x))}{((0.5sin(0.5x)cos(0.54*3.14 - 0.5x) + 0.71(0.15 - 0.125x)))})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = X - arctan(\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)}) + 0.73\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( X - arctan(\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)}) + 0.73\right)}{dx}\\=&0 - (\frac{(0.5(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}})sin(-0.5x + 1.6956)sin(0.5x) + \frac{0.5cos(-0.5x + 1.6956)(-0.5 + 0)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.5sin(-0.5x + 1.6956)cos(0.5x)*0.5}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - 0.08875(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}})x - \frac{0.08875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 0.1065(\frac{-(0.5cos(0.5x)*0.5cos(-0.5x + 1.6956) + 0.5sin(0.5x)*-sin(-0.5x + 1.6956)(-0.5 + 0) - 0.08875 + 0)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)^{2}}))}{(1 + (\frac{0.5sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.08875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.1065}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)})^{2})}) + 0\\=& - \frac{-0.125sin(0.5x)sin(-0.5x + 1.6956)cos(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.125sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.044375sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.25sin(0.5x)cos(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.25sin(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.0221875xcos(0.5x)cos(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.0221875xsin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.0078765625x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 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0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.026625cos(-0.5x + 1.6956)cos(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.026625sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} - \frac{0.009451875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)} + \frac{0.08875}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(\frac{0.25sin(0.5x)sin(-0.5x + 1.6956)sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(0.5x)sin(-0.5x + 1.6956)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.044375xsin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.0078765625x^{2}}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.05325sin(-0.5x + 1.6956)sin(0.5x)}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} - \frac{0.009451875x}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + \frac{0.01134225}{(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)(0.5sin(0.5x)cos(-0.5x + 1.6956) - 0.08875x + 0.1065)} + 1)}\\ \end{split}\end{equation} \]