There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{tan({x}^{3})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {e}^{tan(x^{3})}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{tan(x^{3})}\right)}{dx}\\=&({e}^{tan(x^{3})}((sec^{2}(x^{3})(3x^{2}))ln(e) + \frac{(tan(x^{3}))(0)}{(e)}))\\=&3x^{2}{e}^{tan(x^{3})}sec^{2}(x^{3})\\ \end{split}\end{equation} \]

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