There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{2}{2}^{x})(100)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 100x^{2}{2}^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 100x^{2}{2}^{x}\right)}{dx}\\=&100*2x{2}^{x} + 100x^{2}({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&100x^{2}{2}^{x}ln(2) + 200x{2}^{x}\\ \end{split}\end{equation} \]

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