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

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