What is the derivative of f(x) =x^ {1/3}?

Answer 1

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

As such, pull the 1/3 power to the front and subtract 1/3 by 1. In other words 1/3 - 3/3, which equals -2/3.

Answer 2

You bring the exponent to the front and reduce the exponent by 1.

1/3-1=1/3-3/3=-2/3

So, it is (1/3) x^(-2/3)=