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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xsin(x) + e^{e^{lg(lg(cos(x)))}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xsin(x) + e^{e^{lg(lg(cos(x)))}}\right)}{dx}\\=&sin(x) + xcos(x) + \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))}\\=&sin(x) + xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( sin(x) + xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)}\right)}{dx}\\=&cos(x) + cos(x) + x*-sin(x) - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin(x)}{ln^{3}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)}\\=&2cos(x) - xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2cos(x) - xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))}\right)}{dx}\\=&2*-sin(x) - sin(x) - xcos(x) + \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{2}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{2}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin^{2}(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*2sin(x)cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)*2sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin^{2}(x)}{ln^{3}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin^{2}(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*0}{ln^{3}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*--sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))}\\=&-3sin(x) - xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -3sin(x) - xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)}\right)}{dx}\\=&-3cos(x) - cos(x) - x*-sin(x) - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin(x)}{ln^{5}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin(x)}{ln^{5}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin(x)}{ln^{3}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin^{3}(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*3sin^{2}(x)cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)*3sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin^{3}(x)}{ln^{3}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin^{3}(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{2}{10}lg(cos(x))cos^{4}(x)} - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*0sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)}\\=&-4cos(x) + xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{7e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{18e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{9e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{18e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{9e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{14e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{8e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{14e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{11e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{e^{{lg(lg(cos(x)))}*{4}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{3}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{10e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{13e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{8e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} + \frac{8e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{11e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{6e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{5}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{12e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{11e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{2}{10}lg(cos(x))cos^{4}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}}{ln^{4}{10}lg^{2}(cos(x))} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}}{ln^{3}{10}lg^{2}(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{3}{10}lg^{2}(cos(x))} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{4}{10}lg^{2}(cos(x))}\\ \end{split}\end{equation} \]
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ xsin(x) + e^{e^{lg(lg(cos(x)))}}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xsin(x) + e^{e^{lg(lg(cos(x)))}}\right)}{dx}\\=&sin(x) + xcos(x) + \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))}\\=&sin(x) + xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( sin(x) + xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)}\right)}{dx}\\=&cos(x) + cos(x) + x*-sin(x) - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin(x)}{ln^{3}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)}\\=&2cos(x) - xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 2cos(x) - xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))}\right)}{dx}\\=&2*-sin(x) - sin(x) - xcos(x) + \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{2}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{2}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin^{2}(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*2sin(x)cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)*2sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{2}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin^{2}(x)}{ln^{3}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin^{2}(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*2sin(x)cos(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)*2sin(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*0}{ln^{3}{10}lg(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*--sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))}\\=&-3sin(x) - xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -3sin(x) - xcos(x) - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)}\right)}{dx}\\=&-3cos(x) - cos(x) - x*-sin(x) - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin(x)}{ln^{5}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*-6*0sin^{3}(x)}{ln^{7}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{6}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin(x)}{ln^{5}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{2e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin(x)sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3*2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} + \frac{3e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{2e^{lg(lg(cos(x)))}e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-5*0sin^{3}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{5}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin(x)}{ln^{3}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{2}{10}lg(cos(x))cos(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-4*0sin^{3}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*-sin(x)sin^{3}(x)}{ln^{4}{10}lg^{4}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)e^{lg(lg(cos(x)))}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-3*0sin^{3}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-2*-sin(x)sin^{3}(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*3sin^{2}(x)cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{3}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{3}(x)*3sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{2e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin^{3}(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*0sin^{3}(x)}{ln^{3}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*--sin(x)sin^{3}(x)}{ln^{2}{10}lg^{2}(cos(x))ln{10}(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*3sin^{2}(x)cos(x)}{ln^{2}{10}lg(cos(x))cos^{3}(x)} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{3}(x)*3sin(x)}{ln^{2}{10}lg(cos(x))cos^{4}(x)} - \frac{e^{lg(lg(cos(x)))}*-sin(x)e^{e^{lg(lg(cos(x)))}}sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}*-sin(x)sin(x)}{ln{10}(lg(cos(x)))ln{10}(cos(x))ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-3*0sin(x)}{ln^{4}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}*-2*-sin(x)sin(x)}{ln^{3}{10}lg^{3}(cos(x))ln{10}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}cos(x)}{ln^{3}{10}lg^{2}(cos(x))cos(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin(x)sin(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)}\\=&-4cos(x) + xsin(x) + \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{7e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{18e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{9e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{18e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{9e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{3e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{14e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{8e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{14e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} + \frac{11e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{e^{{lg(lg(cos(x)))}*{4}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{8}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{3}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{10e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{6e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{13e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} - \frac{3e^{{lg(lg(cos(x)))}*{3}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{7}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{8e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{2}{10}lg(cos(x))cos^{2}(x)} + \frac{8e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{12e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{11e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{2}(cos(x))cos^{4}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{{lg(lg(cos(x)))}*{2}}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{6}{10}lg^{4}(cos(x))cos^{4}(x)} + \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{5}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{6e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{5}{10}lg^{4}(cos(x))cos^{4}(x)} - \frac{12e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{4}(x)} - \frac{11e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{4}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{4}(x)} - \frac{6e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{4}(x)}{ln^{2}{10}lg(cos(x))cos^{4}(x)} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}sin^{2}(x)}{ln^{4}{10}lg^{3}(cos(x))cos^{2}(x)} - \frac{e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}sin^{2}(x)}{ln^{3}{10}lg^{2}(cos(x))cos^{2}(x)} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{{lg(lg(cos(x)))}*{2}}}{ln^{4}{10}lg^{2}(cos(x))} - \frac{2e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{2}{10}lg(cos(x))} - \frac{2e^{lg(lg(cos(x)))}e^{e^{lg(lg(cos(x)))}}}{ln^{3}{10}lg^{2}(cos(x))} - \frac{e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{3}{10}lg^{2}(cos(x))} + \frac{3e^{e^{lg(lg(cos(x)))}}e^{lg(lg(cos(x)))}}{ln^{4}{10}lg^{2}(cos(x))}\\ \end{split}\end{equation} \]