How do you find the derivative of $x^(1/3)$ ?

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Answer 1 · 2016-02-21T15:25:54

$1/3x^(-2/3)$

using the $color(blue)" power rule "$

$d/dx(ax^n) = nax^(n-1)$

here a = 1 and $n = 1/3$

hence $d/dx(x^(1/3)) = 1/3xx1 x^(1/3-1) = 1/3x^(-2/3)$

How do you find the derivative of x^(1/3)x^(1/3)?