There are 1 questions in this calculation: for each question, the 5 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 5th\ derivative\ of\ function\ {({x}^{2} + 5)}^{3}{(x + 7)}^{7}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (x + 7)^{7}x^{6} + 15(x + 7)^{7}x^{4} + 75(x + 7)^{7}x^{2} + 125(x + 7)^{7}\\\\ &\color{blue}{The\ 5th\ derivative\ of\ function:} \\=&141120x^{8} + 47864880x^{6} + 981565200x^{4} + 4092480x^{7} + 289648800x^{5} + 1995436800x^{3} + 2917530000x^{2} + 12600(x + 7)^{6}x^{2} + 720(x + 7)^{7}x + 3193898400x + 12600(x + 7)^{6} + 771750000\\ \end{split}\end{equation} \]

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