There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {e}^{x}sqrt({x}^{5})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {e}^{x}sqrt(x^{5})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( {e}^{x}sqrt(x^{5})\right)}{dx}\\=&({e}^{x}((1)ln(e) + \frac{(x)(0)}{(e)}))sqrt(x^{5}) + \frac{{e}^{x}*5x^{4}*\frac{1}{2}}{(x^{5})^{\frac{1}{2}}}\\=&{e}^{x}sqrt(x^{5}) + \frac{5x^{\frac{3}{2}}{e}^{x}}{2}\\ \end{split}\end{equation} \]

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