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

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