There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2π{x}^{2}({(100 - {x}^{2})}^{\frac{1}{2}})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2(-x^{2} + 100)^{\frac{1}{2}}πx^{2}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 2(-x^{2} + 100)^{\frac{1}{2}}πx^{2}\right)}{dx}\\=&2(\frac{\frac{1}{2}(-2x + 0)}{(-x^{2} + 100)^{\frac{1}{2}}})πx^{2} + 2(-x^{2} + 100)^{\frac{1}{2}}π*2x\\=&\frac{-2πx^{3}}{(-x^{2} + 100)^{\frac{1}{2}}} + 4(-x^{2} + 100)^{\frac{1}{2}}πx\\ \end{split}\end{equation} \]

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