There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x{\frac{1}{({a}^{2} + {x}^{2})}}^{\frac{1}{2}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x}{(a^{2} + x^{2})^{\frac{1}{2}}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{x}{(a^{2} + x^{2})^{\frac{1}{2}}}\right)}{dx}\\=&(\frac{\frac{-1}{2}(0 + 2x)}{(a^{2} + x^{2})^{\frac{3}{2}}})x + \frac{1}{(a^{2} + x^{2})^{\frac{1}{2}}}\\=&\frac{-x^{2}}{(a^{2} + x^{2})^{\frac{3}{2}}} + \frac{1}{(a^{2} + x^{2})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !