Relative Extrema Problem

[favi1931]

Ok, So I have been at this problem for a while now and I am the worst at fractions and this happens to have'em in the power of the number. I was able to find the 1st derivative but am stumpped after that. Here it is:

Find the relative extrema:
f(x) = 3x^(5/3)-15x^(2/3)

1st Derivative
f' = 5x^(2/3)-10x^(-1/3)


All help will be appreciated greatly!

Thanks!
Charlie-

 

[Deleted member 4993]

Ok, So I have been at this problem for a while now and I am the worst at fractions and this happens to have'em in the power of the number. I was able to find the 1st derivative but am stumpped after that. Here it is:

Find the relative extrema:
f(x) = 3x^(5/3)-15x^(2/3)

1st Derivative
f' = 5x^(2/3)-10x^(-1/3)


All help will be appreciated greatly!

Thanks!
Charlie-

The relative extrema exist at the ponts where f'(x) = 0 or f'(x) is undefined.

What are the points where f'(x) = 0?

What are the points where f'(x) = undefined?


T