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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\right)}{dx}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)}\right)}{dx}\\=&\frac{--2e^{sqrt(sin(ln(ch(x))))}}{x^{3}} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2xsin^{\frac{1}{2}}(ln(ch(x)))} + \frac{2e^{sqrt(sin(ln(ch(x))))}}{x^{3}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2xsin^{\frac{1}{2}}(ln(ch(x)))} + \frac{2e^{sqrt(sin(ln(ch(x))))}}{x^{3}}\right)}{dx}\\=&\frac{--2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4xsin(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4xsin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*2sh(x)ch(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2xch^{3}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{2}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*2sh(x)ch(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))} + \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))} + \frac{2*-3e^{sqrt(sin(ln(ch(x))))}}{x^{4}} + \frac{2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{3}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2xch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{6e^{sqrt(sin(ln(ch(x))))}}{x^{4}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2xch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{6e^{sqrt(sin(ln(ch(x))))}}{x^{4}}\right)}{dx}\\=&\frac{3*-3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{4}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x^{3}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{3}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{2}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4x^{2}sin(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4x^{2}sin(ln(ch(x)))ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{3}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{3}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*2sh(x)ch(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2x^{2}ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*2sh(x)ch(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-5}{2}cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{7}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{3}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{2}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{5*-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)*-sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4x^{2}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh(x)}{4xsin(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))ch(x)}{4xsin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)*-sh(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4x^{2}ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{3}(x)}{4x(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x^{2}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin(ln(ch(x)))ch^{4}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2x^{2}ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)}{2xch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)*-sh(x)}{2xch^{2}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2x^{2}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{3}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*3sh^{2}(x)ch(x)}{2xch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{2xch^{4}(x)} - \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{3}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))} - \frac{6*-4e^{sqrt(sin(ln(ch(x))))}}{x^{5}} - \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{4}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{-12e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{4}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{x^{3}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{x^{3}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{x^{3}ch^{2}(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{x^{2}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{x^{2}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{x^{2}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{4e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{x^{2}ch(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{x^{2}ch^{3}(x)} - \frac{15e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{\frac{7}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{15e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{3}(ln(ch(x)))ch^{4}(x)} - \frac{4e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{4e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{xsin(ln(ch(x)))ch^{4}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{2}(ln(ch(x)))ch^{2}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{11e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{23e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{4}(x)}{4xch^{4}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{4}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{7e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{7e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{2xsin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))}{4xsin^{\frac{3}{2}}(ln(ch(x)))} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))}{4xsin(ln(ch(x)))} + \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin(ln(ch(x)))sh^{4}(x)}{4xch^{4}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{4}(x)}{2xch^{4}(x)} + \frac{7e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{xsin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))}{2x} + \frac{24e^{sqrt(sin(ln(ch(x))))}}{x^{5}}\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{e^{sqrt(sin(ln(ch(x))))}}{x}\right)}{dx}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-e^{sqrt(sin(ln(ch(x))))}}{x^{2}} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)}\right)}{dx}\\=&\frac{--2e^{sqrt(sin(ln(ch(x))))}}{x^{3}} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)}\\=&\frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2xsin^{\frac{1}{2}}(ln(ch(x)))} + \frac{2e^{sqrt(sin(ln(ch(x))))}}{x^{3}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2xsin^{\frac{1}{2}}(ln(ch(x)))} + \frac{2e^{sqrt(sin(ln(ch(x))))}}{x^{3}}\right)}{dx}\\=&\frac{--2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4xsin(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4xsin(ln(ch(x)))ch^{2}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*2sh(x)ch(x)}{2xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2xch^{3}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{2}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*2sh(x)ch(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))}{2xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))} + \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))} + \frac{2*-3e^{sqrt(sin(ln(ch(x))))}}{x^{4}} + \frac{2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{3}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2xch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{6e^{sqrt(sin(ln(ch(x))))}}{x^{4}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4xsin(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2xch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{6e^{sqrt(sin(ln(ch(x))))}}{x^{4}}\right)}{dx}\\=&\frac{3*-3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{4}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x^{3}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{x^{3}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{3}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{2}(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4x^{2}sin(ln(ch(x)))(ch(x))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4x^{2}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4x^{2}sin(ln(ch(x)))ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{3}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{2}(x)}{4x^{2}sin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{2}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*2sh(x)ch(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{3}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*2sh(x)ch(x)}{2x^{2}ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2x^{2}ch^{3}(x)} + \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{2}(x)}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{2}(x)}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{2}(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*2sh(x)ch(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)*-2sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-5}{2}cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{7}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{3}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{2}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{5*-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)*-sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{-e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{3}(ln(ch(x)))sh^{3}(x)}{8x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-3}{2}cos(ln(ch(x)))sh(x)cos^{3}(ln(ch(x)))sh^{3}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}*-3cos^{2}(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))*3sh^{2}(x)ch(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{8xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{4x^{2}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh(x)}{4xsin(ln(ch(x)))(ch(x))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))ch(x)}{4xsin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)*-sh(x)}{4xsin(ln(ch(x)))ch^{2}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{4x^{2}ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh^{3}(x)}{4x(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xch^{4}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x^{2}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos^{2}(ln(ch(x)))sh^{3}(x)}{4x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-cos(ln(ch(x)))sh(x)cos^{2}(ln(ch(x)))sh^{3}(x)}{4xsin^{2}(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-2cos(ln(ch(x)))sin(ln(ch(x)))sh(x)sh^{3}(x)}{4xsin(ln(ch(x)))(ch(x))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))*3sh^{2}(x)ch(x)}{4xsin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{4xsin(ln(ch(x)))ch^{4}(x)} - \frac{-e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))sh(x)}{x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))sh(x)}{xsin^{\frac{3}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))ch(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*-sh(x)}{xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3*-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2x^{2}ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)}{2xch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)*-sh(x)}{2xch^{2}(x)} + \frac{3*-e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2x^{2}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{2x(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{1}{2}cos(ln(ch(x)))sh(x)sh^{3}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))(ch(x))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))*3sh^{2}(x)ch(x)}{2xch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)*-3sh(x)}{2xch^{4}(x)} - \frac{3*-2e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{2x^{3}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}cos(ln(ch(x)))}{2x^{2}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}sin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}*\frac{-1}{2}cos(ln(ch(x)))sh(x)cos(ln(ch(x)))}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))(ch(x))} - \frac{3e^{sqrt(sin(ln(ch(x))))}*-sin(ln(ch(x)))sh(x)}{2x^{2}sin^{\frac{1}{2}}(ln(ch(x)))(ch(x))} - \frac{6*-4e^{sqrt(sin(ln(ch(x))))}}{x^{5}} - \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)*\frac{1}{2}}{x^{4}(ch(x))(sin(ln(ch(x))))^{\frac{1}{2}}}\\=&\frac{-12e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{4}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{x^{3}sin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{x^{3}sin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{x^{3}ch^{2}(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{2}(ln(ch(x)))ch^{3}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{x^{2}sin(ln(ch(x)))ch(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{x^{2}ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{x^{2}sin(ln(ch(x)))ch^{3}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{3}(x)}{2x^{2}sin^{\frac{5}{2}}(ln(ch(x)))ch^{3}(x)} - \frac{5e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{3}(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{3}(x)}{x^{2}sin^{\frac{3}{2}}(ln(ch(x)))ch^{3}(x)} + \frac{4e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh(x)}{x^{2}sin^{\frac{1}{2}}(ln(ch(x)))ch(x)} + \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh(x)}{x^{2}ch(x)} - \frac{6e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{3}(x)}{x^{2}ch^{3}(x)} - \frac{15e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{\frac{7}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{15e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{3}(ln(ch(x)))ch^{4}(x)} - \frac{4e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{8xsin^{\frac{5}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{4e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{xsin(ln(ch(x)))ch^{4}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{2}(ln(ch(x)))ch^{2}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{11e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{23e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{4}(x)}{4xch^{4}(x)} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{4}(x)}{2xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{7e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{2xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{1}{2}}(ln(ch(x)))ch^{4}(x)} + \frac{e^{sqrt(sin(ln(ch(x))))}cos^{4}(ln(ch(x)))sh^{4}(x)}{16xsin^{2}(ln(ch(x)))ch^{4}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{2}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{3}(ln(ch(x)))sh^{4}(x)}{4xsin^{\frac{3}{2}}(ln(ch(x)))ch^{4}(x)} - \frac{7e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))sh^{2}(x)}{2xsin(ln(ch(x)))ch^{2}(x)} - \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))}{4xsin^{\frac{3}{2}}(ln(ch(x)))} - \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{2}(x)}{2xch^{2}(x)} + \frac{3e^{sqrt(sin(ln(ch(x))))}cos^{2}(ln(ch(x)))}{4xsin(ln(ch(x)))} + \frac{6e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{x^{3}sin^{\frac{1}{2}}(ln(ch(x)))} + \frac{3e^{sqrt(sin(ln(ch(x))))}sin(ln(ch(x)))sh^{4}(x)}{4xch^{4}(x)} + \frac{9e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))sh^{4}(x)}{2xch^{4}(x)} + \frac{7e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))sh^{2}(x)}{xch^{2}(x)} - \frac{e^{sqrt(sin(ln(ch(x))))}cos(ln(ch(x)))}{xsin^{\frac{1}{2}}(ln(ch(x)))} - \frac{3e^{sqrt(sin(ln(ch(x))))}sin^{\frac{1}{2}}(ln(ch(x)))}{2x} + \frac{24e^{sqrt(sin(ln(ch(x))))}}{x^{5}}\\ \end{split}\end{equation} \]