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

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