Question

cuál es la derivada de la función y=x⅓​

Answer 1

desarrollo:

$y = {x}^{ \frac{1}{3} }$

$y'= \frac{1}{3} {x}^{ \frac{1}{3} - 1 }$

$y' = \frac{1}{3} {x}^{ \frac{ - 2}{3} }$

$y' = \frac{1}{3} ( { \frac{1}{x} )}^{ \frac{2}{3} }$

$y' = \frac{1}{3} \frac{ \sqrt[3]{ {1}^{2} } }{ \sqrt[3]{ {x}^{2} } }$

$y' = \frac{1}{3} \frac{1}{ \sqrt[3]{ {x}^{2} } }$

$y' = \frac{1}{3 \sqrt[3]{ {x}^{2} } }$