Question

Vă rog mult , ,ca nu îmi iese rezultatul. Dau coronita

Answer 1

$\displaystyle \mathtt{f(x)=x^2+ \frac{2}{x} }\\ \\ \mathtt{f'(x)=\left(x^2+ \frac{2}{x}\right)'=\left(x^2\right)'+\left( \frac{2}{x}\right)'=2x+2\left( \frac{1}{x}\right)'=2x+2\left(x^{-1}\right)'=}\\ \\ \mathtt{=2x+2\left(- x^{-2}\right)=2x+2\left(- \frac{1}{x^2}\right)=2x- \frac{2}{x^2} }$