Question

Derivada$f(x)= \frac{1}{2x^{4} } + \frac{2}{ x^{6} }$

Answer 1

$f(x)= \dfrac{1}{2x^4} + \dfrac{2}{x^6}\\\\\\f(x)= \dfrac{x^{-4}}{2}+2x^{-6}\\\\\\f'(x)= \dfrac{-4x^{-5}}{2}+2.(-6)x^{-7}\\\\\\f'(x)=-2x^{-5}-12x^{-7}\\\\f'(x)=-2x^{-7}(x^2+6)\\\\\boxed{f'(x)= \dfrac{-2(x^2+6)}{x^7} }$