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

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