There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5sin(0.05x)e^{-0.01xx}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5e^{-0.01x^{2}}sin(0.05x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5e^{-0.01x^{2}}sin(0.05x)\right)}{dx}\\=&5e^{-0.01x^{2}}*-0.01*2xsin(0.05x) + 5e^{-0.01x^{2}}cos(0.05x)*0.05\\=&-0.1xe^{-0.01x^{2}}sin(0.05x) + 0.25e^{-0.01x^{2}}cos(0.05x)\\ \end{split}\end{equation} \]

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