There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {4}^{(\frac{x}{ln(x)})}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {4}^{(\frac{x}{ln(x)})}\right)}{dx}\\=&({4}^{(\frac{x}{ln(x)})}((\frac{1}{ln(x)} + \frac{x*-1}{ln^{2}(x)(x)})ln(4) + \frac{(\frac{x}{ln(x)})(0)}{(4)}))\\=&\frac{{4}^{(\frac{x}{ln(x)})}ln(4)}{ln(x)} - \frac{{4}^{(\frac{x}{ln(x)})}ln(4)}{ln^{2}(x)}\\ \end{split}\end{equation} \]

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