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[tex]Determine a derivada de f(x) =\frac{2}{x^{2} }[/tex]

Resposta :

[tex]\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[/tex]