There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 4 * {10}^{(32{x}^{\frac{-117}{10}})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 4 * {10}^{(\frac{32}{x^{\frac{117}{10}}})}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 4 * {10}^{(\frac{32}{x^{\frac{117}{10}}})}\right)}{dx}\\=&4({10}^{(\frac{32}{x^{\frac{117}{10}}})}((\frac{32*\frac{-117}{10}}{x^{\frac{127}{10}}})ln(10) + \frac{(\frac{32}{x^{\frac{117}{10}}})(0)}{(10)}))\\=&\frac{-7488 * {10}^{(\frac{32}{x^{\frac{117}{10}}})}ln(10)}{5x^{\frac{127}{10}}}\\ \end{split}\end{equation} \]

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