Question

$\frac{x^3}{3}-2\sqrt{x}+\frac{5}{x^2}$

Answer 1

$$\begin{gathered} \frac{d}{dx}\left(\frac{x^3}{3}-2\sqrt{x}+\frac{5}{x^2}\right) \\ =\frac{1}{3}\frac{d}{dx}\left(x^3\right)-2\frac{d}{dx}\left(x^{\frac{1}{2}}\right)+5\frac{d}{dx}\left(x^{-2}\right) \\ =\frac{1}{3}\left(3x^2\right)-2.\frac{1}{2}.x^{\frac{-1}{2}}+5\left(-2\right)x^{-3} \\ =x^2-x^{\frac{-1}{2}}-10x^{-3} \end{gathered}$$