There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {x}^{2}(x - {(tan(x))}^{3} - e^{x})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x^{2}tan^{3}(x) - x^{2}e^{x} + x^{3}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( - x^{2}tan^{3}(x) - x^{2}e^{x} + x^{3}\right)}{dx}\\=& - 2xtan^{3}(x) - x^{2}*3tan^{2}(x)sec^{2}(x)(1) - 2xe^{x} - x^{2}e^{x} + 3x^{2}\\=& - 3x^{2}tan^{2}(x)sec^{2}(x) - 2xtan^{3}(x) - 2xe^{x} - x^{2}e^{x} + 3x^{2}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - 3x^{2}tan^{2}(x)sec^{2}(x) - 2xtan^{3}(x) - 2xe^{x} - x^{2}e^{x} + 3x^{2}\right)}{dx}\\=& - 3*2xtan^{2}(x)sec^{2}(x) - 3x^{2}*2tan(x)sec^{2}(x)(1)sec^{2}(x) - 3x^{2}tan^{2}(x)*2sec^{2}(x)tan(x) - 2tan^{3}(x) - 2x*3tan^{2}(x)sec^{2}(x)(1) - 2e^{x} - 2xe^{x} - 2xe^{x} - x^{2}e^{x} + 3*2x\\=& - 12xtan^{2}(x)sec^{2}(x) - 6x^{2}tan(x)sec^{4}(x) - 6x^{2}tan^{3}(x)sec^{2}(x) - 2tan^{3}(x) - 2e^{x} - 4xe^{x} - x^{2}e^{x} + 6x\\ \end{split}\end{equation} \]

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