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

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