Question

Usando as regras de derivadas, ache a derivada da função g(x) = x^2/5

Answer 1

$Ol\acute{a}~~\mathbb{CLUDEMIR} \\ \\ Sendo~a ~func\tilde{a}o: \\ g(x)= x^{2/5} ~~---\ \textgreater \ derivando~temos: \\ \\ g'(x)= \frac{2}{5} x^{ (\frac{2}{5}-1 )} \\ \\ g'(x)= \frac{2}{5} x^{- \frac{3}{5} } \\ \\ g'(x)= \frac{2}{5} . \frac{1}{ x^{3/5} } \\ \\ \boxed{\boxed{g'(x)= \frac{2}{5 \sqrt[5]{ x^{3} } } } }$

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