If $F (x) = x^{\frac{2}{3}}$ $F(x) = x^(2/3)$ What is $f'(x)$ ?

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Answer 1 · 2016-12-07T08:59:49

$f'(x) = 2/(3root3x)$

NB: I have assumed that the upper case $F(x)$ in the question is a meant to be the same as $f(x)$
$f(x) = x^(2/3)$

Using the power rule:

$f'(x) = 2/3 x^(2/3-1)$

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

$= 2/(3root3x)$

If F(x) = x^(2/3)F(x)=x23F(x) = x^(2/3) What is f'(x)f'(x) ?