Question

$Determine a derivada de f(x) =\frac{2}{x^{2} }$

Answer 1

$\displaystyle \sf f(x)=\frac{2}{x^2} \to f(x) = 2\cdot x^{-2} \\\\ Derivando : \\\\ f'(x)=2\cdot(-2)\cdot x^{(-2-1)} \\\\ f'(x) =-4\cdot x^{-3} \\\\ \huge\boxed{\sf \ f'(x) = \frac{-4}{x^3} \ }\checkmark$