There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{5} + 1)(x + 5)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6} + 5x^{5} + x + 5\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{6} + 5x^{5} + x + 5\right)}{dx}\\=&6x^{5} + 5*5x^{4} + 1 + 0\\=&6x^{5} + 25x^{4} + 1\\ \end{split}\end{equation} \]

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