There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ π{x}^{2}sqrt({10}^{2} - {x}^{2})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = πx^{2}sqrt(-x^{2} + 100)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( πx^{2}sqrt(-x^{2} + 100)\right)}{dx}\\=&π*2xsqrt(-x^{2} + 100) + \frac{πx^{2}(-2x + 0)*\frac{1}{2}}{(-x^{2} + 100)^{\frac{1}{2}}}\\=&2πxsqrt(-x^{2} + 100) - \frac{πx^{3}}{(-x^{2} + 100)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]

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