How do you find the derivative of $root3(x^-5)$ ?

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Answer 1 · 2016-07-17T13:06:47

$-5/3 root(3){x^-8}$

Note that the given function is of the form $x^n$ with $n=-5/3$
Using $d/{dx}(x^n)=n x^{n-1}$ immediately leads to the answer.

How do you find the derivative of root3(x^-5)root3(x^-5)?