Solve for G
\left\{\begin{matrix}G=\frac{5\sqrt{x}}{2\left(x^{5}+1\right)}\text{, }&x>0\\G\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
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xG=\frac{\mathrm{d}}{\mathrm{d}x}(\arctan(\sqrt{x^{5}}))
The equation is in standard form.
\frac{xG}{x}=\frac{5x^{\frac{3}{2}}}{2\left(x^{5}+1\right)x}
Divide both sides by x.
G=\frac{5x^{\frac{3}{2}}}{2\left(x^{5}+1\right)x}
Dividing by x undoes the multiplication by x.
G=\frac{5\sqrt{x}}{2\left(x^{5}+1\right)}
Divide \frac{5x^{\frac{3}{2}}}{2\left(x^{5}+1\right)} by x.
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