Question

what is the derivative of 3x^2/3?

Answer 1

The derivative of equations of the form

\[f(x)=c*x^{n}\]
where c is a constont are equal to
\[f'(x)=c*nx^{n-1}\]
Try that on your equation

Answer 2

so i would do 3*2/3*x^2/3-1?

Answer 3

Yes

Answer 4

ok so 2x^1/3

Answer 5

Close. 2/3 - 1 = -1/3

Answer 6

if i want to solve for x. and the equation is 2x^-1/3=0 how do i get rid of the -1/3

Answer 7

You don't really need to. Because x=0 will give you a zero no matter what power x is raised to

Answer 8

You could raise both powers to the 1/3 power
\[(2x^{-1/3})^{1/3} = 0^{1/3}\]
\[(2x^{-1/3})^{-3} = 0^{-3}\]
\[2x = 0\]