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

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