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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\right)}{dx}\\=&\frac{cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})}{(sin(\frac{e^{x}}{x}))} + ln(sin(\frac{e^{x}}{x}))cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&\frac{-e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + {2}^{x}ln(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + {2}^{x}ln(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})\right)}{dx}\\=&\frac{--2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{-e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))ln(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) + \frac{{2}^{x}*0ln(sin(\frac{e^{x}}{x}))cos({2}^{x})}{(2)} + \frac{{2}^{x}ln(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{(sin(\frac{e^{x}}{x}))} + {2}^{x}ln(2)ln(sin(\frac{e^{x}}{x}))*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&\frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})}{x^{4}} + \frac{2e^{{x}*{2}}sin({2}^{x})}{x^{3}} + \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})}{x^{2}} + {2}^{x}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} - {2}^{(2x)}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})}{x^{4}} + \frac{2e^{{x}*{2}}sin({2}^{x})}{x^{3}} + \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})}{x^{2}} + {2}^{x}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} - {2}^{(2x)}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\right)}{dx}\\=&\frac{2*-3e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2*-2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{-4e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2*-3e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2*2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{-2 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{-e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{-2e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{3}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{-4e^{{x}*{2}}sin({2}^{x})}{x^{5}} - \frac{2e^{x}e^{x}sin({2}^{x})}{x^{4}} - \frac{e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{4}} + \frac{2*-3e^{{x}*{2}}sin({2}^{x})}{x^{4}} + \frac{2*2e^{x}e^{x}sin({2}^{x})}{x^{3}} + \frac{2e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{3}} + \frac{-{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{-2e^{{x}*{2}}sin({2}^{x})}{x^{3}} - \frac{2e^{x}e^{x}sin({2}^{x})}{x^{2}} - \frac{e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}} + ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))ln^{2}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) + \frac{{2}^{x}*2ln(2)*0ln(sin(\frac{e^{x}}{x}))cos({2}^{x})}{(2)} + \frac{{2}^{x}ln^{2}(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{(sin(\frac{e^{x}}{x}))} + {2}^{x}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)})) - \frac{-2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}sin(\frac{e^{x}}{x})} + \frac{-{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{xsin(\frac{e^{x}}{x})} - ({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))ln^{2}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x}) - \frac{{2}^{(2x)}*2ln(2)*0ln(sin(\frac{e^{x}}{x}))sin({2}^{x})}{(2)} - \frac{{2}^{(2x)}ln^{2}(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})}{(sin(\frac{e^{x}}{x}))} - {2}^{(2x)}ln^{2}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&\frac{-6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{12e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{3e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{4}} + \frac{6 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{3}} + \frac{2e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}sin({2}^{x})}{x^{3}} + \frac{2 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}sin({2}^{x})}{x^{2}} - \frac{12e^{{x}*{2}}sin({2}^{x})}{x^{4}} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}sin({2}^{x})}{x^{5}} + \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{2}} + {2}^{x}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} - 3 * {2}^{(2x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x}) + \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - {2}^{(3x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{-6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{12e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{3e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{4}} + \frac{6 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{3}} + \frac{2e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}sin({2}^{x})}{x^{3}} + \frac{2 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}sin({2}^{x})}{x^{2}} - \frac{12e^{{x}*{2}}sin({2}^{x})}{x^{4}} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}sin({2}^{x})}{x^{5}} + \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{2}} + {2}^{x}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} - 3 * {2}^{(2x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x}) + \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - {2}^{(3x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})\right)}{dx}\\=&\frac{-6*-4e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{6e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{6*-3e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{6e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{6e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{6e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{6*-5e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{6}sin^{2}(\frac{e^{x}}{x})} + \frac{6*2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{12*-4e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{12*2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{12e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{12e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{12e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4*-3 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{4({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}(2)sin(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2*-6e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{7}sin(\frac{e^{x}}{x})} - \frac{2*3e^{{x}*{2}}e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin^{2}(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{6*-5e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{6*3e^{{x}*{2}}e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{3*-2e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{3e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{3e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{9*-3e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{9*2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{9e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{4*-2 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{4({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{4 * {2}^{x}e^{x}ln(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{6*-4e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{6*3e^{{x}*{2}}e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{2*-6e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{7}sin^{3}(\frac{e^{x}}{x})} - \frac{2*3e^{{x}*{2}}e^{x}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}*-3cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{4}(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} - \frac{2e^{{x}*{3}}sin({2}^{x})*-3cos^{2}(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{6*-5e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{6*3e^{{x}*{2}}e^{x}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}*-3cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{4}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} + \frac{6e^{{x}*{3}}sin({2}^{x})*-3cos^{2}(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{-4 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}*0cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}(2)sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2*-3e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{2*3e^{{x}*{2}}e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{6*-4e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{6*3e^{{x}*{2}}e^{x}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}*-3cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{4}(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{6e^{{x}*{3}}sin({2}^{x})*-3cos^{2}(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{2*-3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}*0cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}(2)sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{-e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{e^{x}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3*-2e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{3*2e^{x}e^{x}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{3}(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{3e^{{x}*{2}}sin({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{-2 * {2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}*2ln(2)*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2*-4 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}*2e^{x}e^{x}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}*0cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}(2)sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4*-3 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{4({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}*2e^{x}e^{x}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}*0cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}(2)sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{4 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2*-2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}*2ln(2)*0sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3*-4 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{5}} - \frac{3({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{4}} - \frac{3 * {2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})}{x^{4}} - \frac{3 * {2}^{x}e^{{x}*{2}}*0cos({2}^{x})}{x^{4}(2)} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{4}} + \frac{6*-3 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{4}} + \frac{6({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{3}} + \frac{6 * {2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})}{x^{3}} + \frac{6 * {2}^{x}e^{{x}*{2}}*0cos({2}^{x})}{x^{3}(2)} + \frac{6 * {2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{3}} + \frac{2*-3e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{2*3e^{{x}*{2}}e^{x}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}*-3cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{4}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{2e^{{x}*{3}}sin({2}^{x})*-3cos^{2}(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{9*-3e^{{x}*{2}}sin({2}^{x})}{x^{4}} + \frac{9*2e^{x}e^{x}sin({2}^{x})}{x^{3}} + \frac{9e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{3}} + \frac{2*-{2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3*-2e^{{x}*{2}}sin({2}^{x})}{x^{3}} - \frac{3*2e^{x}e^{x}sin({2}^{x})}{x^{2}} - \frac{3e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}} - \frac{12*-4e^{{x}*{2}}sin({2}^{x})}{x^{5}} - \frac{12*2e^{x}e^{x}sin({2}^{x})}{x^{4}} - \frac{12e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{4}} - \frac{-2 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}*0cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}(2)sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{3}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{6*-5e^{{x}*{2}}sin({2}^{x})}{x^{6}} + \frac{6*2e^{x}e^{x}sin({2}^{x})}{x^{5}} + \frac{6e^{{x}*{2}}cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{5}} + \frac{-{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}*2ln(2)*0cos({2}^{x})cos(\frac{e^{x}}{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln^{2}(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln^{2}(2)cos({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2*-2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}*2e^{x}e^{x}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}*0cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}(2)sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{3}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)*-2cos(\frac{e^{x}}{x})sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2*-{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}*2ln(2)*0sin({2}^{x})cos(\frac{e^{x}}{x})}{x(2)sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3*-2 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{3}} - \frac{3({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{2}} - \frac{3 * {2}^{x}*2e^{x}e^{x}ln(2)cos({2}^{x})}{x^{2}} - \frac{3 * {2}^{x}e^{{x}*{2}}*0cos({2}^{x})}{x^{2}(2)} - \frac{3 * {2}^{x}e^{{x}*{2}}ln(2)*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}} + ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) + \frac{{2}^{x}*3ln^{2}(2)*0ln(sin(\frac{e^{x}}{x}))cos({2}^{x})}{(2)} + \frac{{2}^{x}ln^{3}(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{(sin(\frac{e^{x}}{x}))} + {2}^{x}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)})) - \frac{2*-2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}*2ln(2)*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln^{2}(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2*-{2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}*2ln(2)*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{xsin(\frac{e^{x}}{x})} - 3({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))ln^{3}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x}) - \frac{3 * {2}^{(2x)}*3ln^{2}(2)*0ln(sin(\frac{e^{x}}{x}))sin({2}^{x})}{(2)} - \frac{3 * {2}^{(2x)}ln^{3}(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})}{(sin(\frac{e^{x}}{x}))} - 3 * {2}^{(2x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)})) + \frac{2*-3 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}(2)sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2*-2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{x^{2}sin(\frac{e^{x}}{x})} + \frac{-{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}*0cos(\frac{e^{x}}{x})cos({2}^{x})}{x(2)sin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))}{xsin(\frac{e^{x}}{x})} + \frac{-2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}*2ln(2)*0sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}(2)sin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{-{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{({2}^{(2x)}((2)ln(2) + \frac{(2x)(0)}{(2)}))e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}*2ln(2)*0sin({2}^{x})cos(\frac{e^{x}}{x})}{x(2)sin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)*-cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)cos({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})*-sin(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - ({2}^{(3x)}((3)ln(2) + \frac{(3x)(0)}{(2)}))ln^{3}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{{2}^{(3x)}*3ln^{2}(2)*0ln(sin(\frac{e^{x}}{x}))cos({2}^{x})}{(2)} - \frac{{2}^{(3x)}ln^{3}(2)cos(\frac{e^{x}}{x})(\frac{-e^{x}}{x^{2}} + \frac{e^{x}}{x})cos({2}^{x})}{(sin(\frac{e^{x}}{x}))} - {2}^{(3x)}ln^{3}(2)ln(sin(\frac{e^{x}}{x}))*-sin({2}^{x})({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&\frac{24e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{24e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{36e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{6}sin^{2}(\frac{e^{x}}{x})} + \frac{72e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{18 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{24e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{7}sin(\frac{e^{x}}{x})} - \frac{72e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{12e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{60e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{18 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{84e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} + \frac{24e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{7}sin^{3}(\frac{e^{x}}{x})} - \frac{72e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{10 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{48e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{84e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{20 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{8e^{{x}*{4}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{8}sin^{2}(\frac{e^{x}}{x})} + \frac{32e^{{x}*{4}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{7}sin^{2}(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{14 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{28 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{10 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{6}sin(\frac{e^{x}}{x})} + \frac{18 * {2}^{x}e^{{x}*{3}}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{5}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{6}sin(\frac{e^{x}}{x})} - \frac{48e^{{x}*{4}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{6}sin^{2}(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{5}sin(\frac{e^{x}}{x})} + \frac{32e^{{x}*{4}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{5}sin^{2}(\frac{e^{x}}{x})} - \frac{4e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{28e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{9 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{12e^{{x}*{3}}sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{48e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{15 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{8e^{{x}*{4}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{21 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{10 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{18 * {2}^{x}e^{{x}*{3}}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{4}sin(\frac{e^{x}}{x})} - \frac{6e^{{x}*{4}}sin({2}^{x})cos^{4}(\frac{e^{x}}{x})}{x^{8}sin^{4}(\frac{e^{x}}{x})} + \frac{24e^{{x}*{4}}sin({2}^{x})cos^{4}(\frac{e^{x}}{x})}{x^{7}sin^{4}(\frac{e^{x}}{x})} - \frac{36e^{{x}*{4}}sin({2}^{x})cos^{4}(\frac{e^{x}}{x})}{x^{6}sin^{4}(\frac{e^{x}}{x})} + \frac{24e^{{x}*{4}}sin({2}^{x})cos^{4}(\frac{e^{x}}{x})}{x^{5}sin^{4}(\frac{e^{x}}{x})} - \frac{2 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{e^{x}sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{7e^{{x}*{2}}sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{12e^{{x}*{3}}sin({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} - \frac{6e^{{x}*{4}}sin({2}^{x})cos^{4}(\frac{e^{x}}{x})}{x^{4}sin^{4}(\frac{e^{x}}{x})} + \frac{8e^{{x}*{4}}sin({2}^{x})}{x^{7}} - \frac{{2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos^{3}(\frac{e^{x}}{x})cos({2}^{x})}{x^{6}sin^{3}(\frac{e^{x}}{x})} + \frac{18 * {2}^{x}e^{{x}*{3}}ln(2)cos^{3}(\frac{e^{x}}{x})cos({2}^{x})}{x^{5}sin^{3}(\frac{e^{x}}{x})} + \frac{5 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2e^{{x}*{4}}sin({2}^{x})}{x^{4}} + \frac{8e^{{x}*{4}}sin({2}^{x})}{x^{5}} - \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} + \frac{2 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{18 * {2}^{x}e^{{x}*{3}}ln(2)cos^{3}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{3}(\frac{e^{x}}{x})} - \frac{10 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{72e^{{x}*{2}}sin({2}^{x})}{x^{5}} - \frac{60e^{{x}*{2}}sin({2}^{x})}{x^{4}} + \frac{3 * {2}^{x}e^{x}ln(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{28e^{{x}*{2}}sin({2}^{x})}{x^{3}} - \frac{7e^{{x}*{2}}sin({2}^{x})}{x^{2}} - \frac{12e^{{x}*{4}}sin({2}^{x})}{x^{6}} - \frac{5 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{{2}^{x}e^{x}ln^{3}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{5 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} + \frac{10 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} + \frac{7 * {2}^{(2x)}e^{x}ln^{3}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} + \frac{3 * {2}^{(3x)}e^{x}ln^{3}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} + \frac{5 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{7 * {2}^{x}e^{{x}*{2}}ln(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{24 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{5}} - \frac{6 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})}{x^{4}} - \frac{48 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{4}} - \frac{5 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{12 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})}{x^{3}} + \frac{36 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{3}} - \frac{2e^{{x}*{4}}sin({2}^{x})}{x^{8}} + \frac{2 * {2}^{x}e^{{x}*{3}}ln(2)cos({2}^{x})cos^{3}(\frac{e^{x}}{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} - \frac{36e^{{x}*{2}}sin({2}^{x})}{x^{6}} + \frac{3 * {2}^{x}e^{x}ln^{2}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{4}sin^{2}(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{3}sin^{2}(\frac{e^{x}}{x})} - \frac{7 * {2}^{(2x)}e^{x}ln^{3}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{{x}*{3}}ln(2)cos^{3}(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin^{3}(\frac{e^{x}}{x})} - \frac{12 * {2}^{x}e^{{x}*{2}}ln(2)cos({2}^{x})}{x^{2}} - \frac{{2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})cos^{2}(\frac{e^{x}}{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} - \frac{5 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos^{2}(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin^{2}(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln^{3}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{x}ln^{3}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{{x}*{2}}ln^{2}(2)cos({2}^{x})}{x^{2}} + \frac{3 * {2}^{x}e^{x}ln^{3}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} - \frac{3 * {2}^{(3x)}e^{x}ln^{3}(2)cos({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} + {2}^{x}ln^{4}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) - \frac{6 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{3 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - 7 * {2}^{(2x)}ln^{4}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x}) + \frac{3 * {2}^{x}e^{x}ln^{2}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{5 * {2}^{(2x)}e^{x}ln^{3}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{5 * {2}^{(2x)}e^{x}ln^{3}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} - \frac{6 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{4}sin(\frac{e^{x}}{x})} + \frac{6 * {2}^{x}e^{x}ln(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{3}sin(\frac{e^{x}}{x})} - \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{3}sin(\frac{e^{x}}{x})} - 6 * {2}^{(3x)}ln^{4}(2)ln(sin(\frac{e^{x}}{x}))cos({2}^{x}) + \frac{2 * {2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{(2x)}e^{x}ln^{2}(2)sin({2}^{x})cos(\frac{e^{x}}{x})}{xsin(\frac{e^{x}}{x})} + \frac{{2}^{(3x)}e^{x}ln^{3}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{x^{2}sin(\frac{e^{x}}{x})} - \frac{{2}^{(3x)}e^{x}ln^{3}(2)cos(\frac{e^{x}}{x})cos({2}^{x})}{xsin(\frac{e^{x}}{x})} + \frac{6 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})}{x^{4}} - \frac{12 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})}{x^{3}} + \frac{6 * {2}^{(2x)}e^{{x}*{2}}ln^{2}(2)sin({2}^{x})}{x^{2}} + {2}^{(4x)}ln^{4}(2)ln(sin(\frac{e^{x}}{x}))sin({2}^{x})\\ \end{split}\end{equation} \]