Finding all Critical Points

[cv2yanks13]

I need help finding all of the critical points for the following equation:

f(x)= x^(2/3)*(x^2-4)

I ended up getting the y'= 2/3x^(-1/3)*(x^2-4)* x^(2/3) * (2x)

Now what do I have to do??

 

[BigGlenntheHeavy]

\(\displaystyle f(x) \ = \ x^{2/3}(x^2-4), \ f'(x) \ = \ \frac{8x^2-8}{3x^{1/3}}\)

\(\displaystyle f'(\pm1) \ = \ 0 \ ,f'(0) \ is \ undefined, \ thus, \ critical \ points \are \ (1,-3),(-1,-3), \ and \ (0,0).\)

\(\displaystyle See \ graph.\)

[attachment=0:2s3qgo1w]stu.jpg[/attachment:2s3qgo1w]

 

[cv2yanks13]

thank you man... I see it now... I appreciate you taking the time to help me