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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ \frac{e^{{ch(x)}^{x}}}{({ch(x)}^{x})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {ch(x)}^{(-x)}e^{{ch(x)}^{x}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {ch(x)}^{(-x)}e^{{ch(x)}^{x}}\right)}{dx}\\=&({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}} + {ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))\\=&-{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) - \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + e^{{ch(x)}^{x}}ln(ch(x)) + \frac{xe^{{ch(x)}^{x}}sh(x)}{ch(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) - \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + e^{{ch(x)}^{x}}ln(ch(x)) + \frac{xe^{{ch(x)}^{x}}sh(x)}{ch(x)}\right)}{dx}\\=&-({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x)) - {ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x)) - \frac{{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{(ch(x))} - \frac{{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} - \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ch(x)}{ch(x)} - \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} + e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x)) + \frac{e^{{ch(x)}^{x}}sh(x)}{(ch(x))} + \frac{e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} + \frac{xe^{{ch(x)}^{x}}ch(x)}{ch(x)} + \frac{xe^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)}\\=&{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - e^{{ch(x)}^{x}}ln^{2}(ch(x)) - \frac{2xe^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{x^{2}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + {ch(x)}^{x}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{2e^{{ch(x)}^{x}}sh(x)}{ch(x)} - x{ch(x)}^{(-x)}e^{{ch(x)}^{x}} - \frac{xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + xe^{{ch(x)}^{x}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( {ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - e^{{ch(x)}^{x}}ln^{2}(ch(x)) - \frac{2xe^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{x^{2}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + {ch(x)}^{x}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{2e^{{ch(x)}^{x}}sh(x)}{ch(x)} - x{ch(x)}^{(-x)}e^{{ch(x)}^{x}} - \frac{xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + xe^{{ch(x)}^{x}}\right)}{dx}\\=&({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{2}(ch(x)) + {ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x)) + \frac{{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2ln(ch(x))sh(x)}{(ch(x))} + \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{2x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} - e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x)) - \frac{e^{{ch(x)}^{x}}*2ln(ch(x))sh(x)}{(ch(x))} - \frac{2e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} - \frac{2xe^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} - \frac{2({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ch(x)}{ch(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} - \frac{2xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{x^{2}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} - \frac{x^{2}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} - \frac{x^{2}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{2{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{2x({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} + ({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{2}(ch(x)) + {ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x)) + \frac{{ch(x)}^{x}e^{{ch(x)}^{x}}*2ln(ch(x))sh(x)}{(ch(x))} + \frac{2x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{2e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} + \frac{2e^{{ch(x)}^{x}}ch(x)}{ch(x)} + \frac{2e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} - {ch(x)}^{(-x)}e^{{ch(x)}^{x}} - x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}} - x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))})) - \frac{e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} - \frac{xe^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} - \frac{xe^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + e^{{ch(x)}^{x}} + xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))\\=&\frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{6e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{3xe^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + e^{{ch(x)}^{x}}ln^{3}(ch(x)) - \frac{6xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - 3xe^{{ch(x)}^{x}}ln(ch(x)) + \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - {ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{3}(ch(x)) - \frac{x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + {ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{3}(ch(x)) + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + 3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x)) + 3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) - 3{ch(x)}^{(-x)}e^{{ch(x)}^{x}} + \frac{x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + 3e^{{ch(x)}^{x}} - \frac{2xe^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{2xe^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{6e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{3xe^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + e^{{ch(x)}^{x}}ln^{3}(ch(x)) - \frac{6xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - 3xe^{{ch(x)}^{x}}ln(ch(x)) + \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - {ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{3}(ch(x)) - \frac{x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + {ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{3}(ch(x)) + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + 3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x)) + 3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) - 3{ch(x)}^{(-x)}e^{{ch(x)}^{x}} + \frac{x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + 3e^{{ch(x)}^{x}} - \frac{2xe^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{2xe^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)}\right)}{dx}\\=&\frac{6({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} + \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} + \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} - \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{3x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2ln(ch(x))sh(x)sh(x)}{(ch(x))ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))ch(x)}{ch(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} - \frac{6e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} - \frac{6e^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} - \frac{6e^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} - \frac{6e^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} + \frac{3e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3xe^{{ch(x)}^{x}}*2ln(ch(x))sh(x)sh(x)}{(ch(x))ch(x)} + \frac{3xe^{{ch(x)}^{x}}ln^{2}(ch(x))ch(x)}{ch(x)} + \frac{3xe^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} + \frac{6({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh(x)}{ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)sh(x)}{(ch(x))ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))ch(x)}{ch(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} - \frac{3*2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x^{2}({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{3*2xe^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{6{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} - \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} - \frac{3{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} - \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{3}(ch(x)) + \frac{e^{{ch(x)}^{x}}*3ln^{2}(ch(x))sh(x)}{(ch(x))} - \frac{6e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{6xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} - \frac{6xe^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} - \frac{6xe^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{3e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} + \frac{3xe^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} - 3e^{{ch(x)}^{x}}ln(ch(x)) - 3xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x)) - \frac{3xe^{{ch(x)}^{x}}sh(x)}{(ch(x))} + \frac{3({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} - ({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{3}(ch(x)) - {ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{3}(ch(x)) - \frac{{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*3ln^{2}(ch(x))sh(x)}{(ch(x))} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{x^{3}({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} - \frac{x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} - \frac{x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} + \frac{x^{3}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} + \frac{3*2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ch(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} - \frac{3*2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} - \frac{3*2xe^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{3x^{2}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} - \frac{3x^{2}e^{{ch(x)}^{x}}ch(x)}{ch(x)} - \frac{3x^{2}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} + \frac{3*2xe^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} + \frac{3x^{2}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} + \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{2x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ch(x)}{ch(x)} + \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} - \frac{2{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{2x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} - \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} - \frac{2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} + ({ch(x)}^{(2x)}((2)ln(ch(x)) + \frac{(2x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{3}(ch(x)) + {ch(x)}^{(2x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{3}(ch(x)) + \frac{{ch(x)}^{(2x)}e^{{ch(x)}^{x}}*3ln^{2}(ch(x))sh(x)}{(ch(x))} + \frac{3{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3x({ch(x)}^{(2x)}((2)ln(ch(x)) + \frac{(2x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}*2ln(ch(x))sh(x)sh(x)}{(ch(x))ch(x)} + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))ch(x)}{ch(x)} + \frac{3x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)*-sh(x)}{ch^{2}(x)} + \frac{3*2x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}({ch(x)}^{(2x)}((2)ln(ch(x)) + \frac{(2x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh(x)sh^{2}(x)}{(ch(x))ch^{2}(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))*2sh(x)ch(x)}{ch^{2}(x)} + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + \frac{6{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{x}e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + 3{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x)) + 3x({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x)) + 3x{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x)) + \frac{3x{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)}{(ch(x))} + 3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) + 3x({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}ln(ch(x)) + 3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))ln(ch(x)) + \frac{3x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{(ch(x))} - 3({ch(x)}^{(-x)}((-1)ln(ch(x)) + \frac{(-x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}} - 3{ch(x)}^{(-x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))})) + \frac{3x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}({ch(x)}^{(2x)}((2)ln(ch(x)) + \frac{(2x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} + \frac{x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} + \frac{x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} + \frac{3*2x{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}ch(x)}{ch(x)} + \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} - \frac{3*2x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} - \frac{3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)} - \frac{3e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{2}(x)}{ch^{2}(x)} - \frac{3e^{{ch(x)}^{x}}*2sh(x)ch(x)}{ch^{2}(x)} - \frac{3e^{{ch(x)}^{x}}sh^{2}(x)*-2sh(x)}{ch^{3}(x)} + 3e^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))})) - \frac{2e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}ch(x)}{ch(x)} - \frac{2xe^{{ch(x)}^{x}}sh(x)*-sh(x)}{ch^{2}(x)} + \frac{2e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{2xe^{{ch(x)}^{x}}({ch(x)}^{x}((1)ln(ch(x)) + \frac{(x)(sh(x))}{(ch(x))}))sh^{3}(x)}{ch^{3}(x)} + \frac{2xe^{{ch(x)}^{x}}*3sh^{2}(x)ch(x)}{ch^{3}(x)} + \frac{2xe^{{ch(x)}^{x}}sh^{3}(x)*-3sh(x)}{ch^{4}(x)}\\=&\frac{-12{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} - \frac{24x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{12e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{24xe^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{12{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{12{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{12{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{4x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{3}(ch(x))sh(x)}{ch(x)} + \frac{6x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{4xe^{{ch(x)}^{x}}ln^{3}(ch(x))sh(x)}{ch(x)} - \frac{6x^{2}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{12x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{12e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{12e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} - 12e^{{ch(x)}^{x}}ln(ch(x)) + \frac{4x{ch(x)}^{x}e^{{ch(x)}^{x}}ln^{3}(ch(x))sh(x)}{ch(x)} + \frac{6x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{6xe^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{12x^{2}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{12{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh(x)}{ch(x)} + \frac{24x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{12{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + 12{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x)) + \frac{4x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - \frac{4x^{3}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - \frac{12x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{12x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - \frac{8x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{4x^{3}{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} + \frac{12x^{2}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{12x^{2}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} + \frac{8xe^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + \frac{24x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{24x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{8x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - \frac{8x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} - \frac{6x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} - \frac{12x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - \frac{24x{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{8x{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} + {ch(x)}^{x}e^{{ch(x)}^{x}}ln^{4}(ch(x)) - \frac{24xe^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{24xe^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{8xe^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} + 6xe^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{8{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh(x)}{ch(x)} - \frac{8{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + {ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{4}(ch(x)) - e^{{ch(x)}^{x}}ln^{4}(ch(x)) + \frac{x^{4}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - \frac{x^{4}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - \frac{6x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x^{3}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + \frac{x^{4}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + \frac{6x^{3}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{6x^{3}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - \frac{14x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{11x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - \frac{8x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{14x^{2}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{11x^{2}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + \frac{8xe^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + \frac{12x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh(x)}{ch(x)} + 2{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{4}(ch(x)) + \frac{8x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{3}(ch(x))sh(x)}{ch(x)} + {ch(x)}^{(3x)}e^{{ch(x)}^{x}}ln^{4}(ch(x)) + \frac{4x{ch(x)}^{(3x)}e^{{ch(x)}^{x}}ln^{3}(ch(x))sh(x)}{ch(x)} + 12{ch(x)}^{x}e^{{ch(x)}^{x}}ln(ch(x)) + \frac{12x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{6x^{2}{ch(x)}^{(3x)}e^{{ch(x)}^{x}}ln^{2}(ch(x))sh^{2}(x)}{ch^{2}(x)} + \frac{12x^{2}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} + \frac{8x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} + \frac{4x^{3}{ch(x)}^{(3x)}e^{{ch(x)}^{x}}ln(ch(x))sh^{3}(x)}{ch^{3}(x)} - 6x{ch(x)}^{(-x)}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{24x{ch(x)}^{x}e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{6x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} - \frac{6x^{3}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + 6x{ch(x)}^{(2x)}e^{{ch(x)}^{x}}ln^{2}(ch(x)) + \frac{2x^{4}{ch(x)}^{(2x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + \frac{x^{4}{ch(x)}^{(3x)}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - \frac{14x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{2}(x)}{ch^{2}(x)} + \frac{11x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} + 2x{ch(x)}^{(-x)}e^{{ch(x)}^{x}} + 3x^{2}{ch(x)}^{x}e^{{ch(x)}^{x}} + 3x^{2}{ch(x)}^{(-x)}e^{{ch(x)}^{x}} - \frac{8e^{{ch(x)}^{x}}sh(x)}{ch(x)} + \frac{8e^{{ch(x)}^{x}}sh^{3}(x)}{ch^{3}(x)} - \frac{6xe^{{ch(x)}^{x}}sh^{4}(x)}{ch^{4}(x)} - 3x^{2}e^{{ch(x)}^{x}} - 2xe^{{ch(x)}^{x}}\\ \end{split}\end{equation} \]