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

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