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

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