Question

Calcular a derivada de
y=1/x²+4

Answer 1

$y = \frac{1}{x^{2}} + 4 = \frac{(1+4x^{2})}{x^{2}} = (1+4x^{2}).x^{-2} = x^{-2}+4.x^{2+(-2)} = x^{-2}+4.x^{0} \\ \\ y = x^{-2}+4 \\ \\ y' = -2x^{-2-1} \\ \\ y'=-2x^{-3}$

Espero ter ajudado.