Derivative function. Is the book wrong?

1. Nov 2, 2013

noahsdev

Differentiate the following with a positive index:
$\frac{2}{\sqrt[3]{x}}$
What the book says:
$\frac{-2}{3x^ \frac{2}{3}}$
But shouldn't it be:
$\frac{-2}{3x^ \frac{4}{3}}$
I just wan't to know if I'm doing something wrong, thanks :).

Last edited: Nov 2, 2013
2. Nov 2, 2013

Ibix

I agree with you.

3. Nov 2, 2013

arildno

Your book is wrong.

4. Nov 2, 2013

noahsdev

Cool thanks, just wanted to check.