There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(4x)}^{(\frac{7}{x})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (4x)^{(\frac{7}{x})}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (4x)^{(\frac{7}{x})}\right)}{dx}\\=&((4x)^{(\frac{7}{x})}((\frac{7*-1}{x^{2}})ln(4x) + \frac{(\frac{7}{x})(4)}{(4x)}))\\=&\frac{-7(4x)^{(\frac{7}{x})}ln(4x)}{x^{2}} + \frac{7(4x)^{(\frac{7}{x})}}{x^{2}}\\ \end{split}\end{equation} \]

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