There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ -12810sec(3)(x)csc(7)(x) - 30744tan(3)(x)cot(x)sec(x)csc(5)(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -12810x^{2}sec(3)csc(7) - 30744x^{2}tan(3)cot(x)sec(x)csc(5)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -12810x^{2}sec(3)csc(7) - 30744x^{2}tan(3)cot(x)sec(x)csc(5)\right)}{dx}\\=&-12810*2xsec(3)csc(7) - 12810x^{2}sec(3)tan(3)*0csc(7) - 12810x^{2}sec(3)*-csc(7)cot(7)*0 - 30744*2xtan(3)cot(x)sec(x)csc(5) - 30744x^{2}sec^{2}(3)(0)cot(x)sec(x)csc(5) - 30744x^{2}tan(3)*-csc^{2}(x)sec(x)csc(5) - 30744x^{2}tan(3)cot(x)sec(x)tan(x)csc(5) - 30744x^{2}tan(3)cot(x)sec(x)*-csc(5)cot(5)*0\\=&-25620xsec(3)csc(7) - 61488xtan(3)cot(x)sec(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)csc(5)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -25620xsec(3)csc(7) - 61488xtan(3)cot(x)sec(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)csc(5)\right)}{dx}\\=&-25620sec(3)csc(7) - 25620xsec(3)tan(3)*0csc(7) - 25620xsec(3)*-csc(7)cot(7)*0 - 61488tan(3)cot(x)sec(x)csc(5) - 61488xsec^{2}(3)(0)cot(x)sec(x)csc(5) - 61488xtan(3)*-csc^{2}(x)sec(x)csc(5) - 61488xtan(3)cot(x)sec(x)tan(x)csc(5) - 61488xtan(3)cot(x)sec(x)*-csc(5)cot(5)*0 + 30744*2xtan(3)sec(x)csc^{2}(x)csc(5) + 30744x^{2}sec^{2}(3)(0)sec(x)csc^{2}(x)csc(5) + 30744x^{2}tan(3)sec(x)tan(x)csc^{2}(x)csc(5) + 30744x^{2}tan(3)sec(x)*-2csc^{2}(x)cot(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)*-csc(5)cot(5)*0 - 30744*2xtan(x)tan(3)cot(x)sec(x)csc(5) - 30744x^{2}sec^{2}(x)(1)tan(3)cot(x)sec(x)csc(5) - 30744x^{2}tan(x)sec^{2}(3)(0)cot(x)sec(x)csc(5) - 30744x^{2}tan(x)tan(3)*-csc^{2}(x)sec(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)tan(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)*-csc(5)cot(5)*0\\=&-25620sec(3)csc(7) - 61488tan(3)cot(x)sec(x)csc(5) + 122976xtan(3)sec(x)csc^{2}(x)csc(5) - 122976xtan(x)tan(3)cot(x)sec(x)csc(5) + 61488x^{2}tan(x)tan(3)sec(x)csc^{2}(x)csc(5) - 61488x^{2}tan(3)cot(x)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(3)cot(x)sec^{3}(x)csc(5) - 30744x^{2}tan(3)tan^{2}(x)cot(x)sec(x)csc(5)\\ \end{split}\end{equation} \]

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