There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(\frac{1}{(1 + {x}^{5})})\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = sin(\frac{1}{(x^{5} + 1)})\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(\frac{1}{(x^{5} + 1)})\right)}{dx}\\=&cos(\frac{1}{(x^{5} + 1)})(\frac{-(5x^{4} + 0)}{(x^{5} + 1)^{2}})\\=&\frac{-5x^{4}cos(\frac{1}{(x^{5} + 1)})}{(x^{5} + 1)^{2}}\\ \end{split}\end{equation} \]

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