There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ tan({e}^{({x}^{2} + 16tan(sin({e}^{2}x)))})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = tan({e}^{(x^{2} + 16tan(sin(xe^{2})))})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( tan({e}^{(x^{2} + 16tan(sin(xe^{2})))})\right)}{dx}\\=&sec^{2}({e}^{(x^{2} + 16tan(sin(xe^{2})))})(({e}^{(x^{2} + 16tan(sin(xe^{2})))}((2x + 16sec^{2}(sin(xe^{2}))(cos(xe^{2})(e^{2} + x*2e*0)))ln(e) + \frac{(x^{2} + 16tan(sin(xe^{2})))(0)}{(e)})))\\=&2x{e}^{(x^{2} + 16tan(sin(xe^{2})))}sec^{2}({e}^{(x^{2} + 16tan(sin(xe^{2})))}) + 16{e}^{(x^{2} + 16tan(sin(xe^{2})))}e^{2}cos(xe^{2})sec^{2}(sin(xe^{2}))sec^{2}({e}^{(x^{2} + 16tan(sin(xe^{2})))})\\ \end{split}\end{equation} \]

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