Question

como resolver esse ítem de derivadas?

Answer 1

$f(x)=x^3- \frac{1}{3x^5}+2 \sqrt{x} - \frac{3}{x}$

$f(x)=x^3- \frac{x^{-5}}{3}+2x^{ \frac{1}{2} }-3x^{-1}$

$f'(x)=3x^2- \frac{(-5)x^{-6}}{3}+ \frac{1}{2}.2x^{ -\frac{1}{2} }-(-1)3x^{-2}$

$f'(x)=3x^2 +\frac{5x^{-6}}{3}+x^{- \frac{1}{2} }+3x^{-2}$

$\boxed{f'(x)=3x^2+ \frac{5}{3x^6} + \frac{1}{ \sqrt{x} } + \frac{3}{x^2} }$