Find Critical Numbers for F(x)= x^3-12x^2 - Ash

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SUMMARY

The critical numbers for the function F(x) = x^3 - 12x^2 are determined by finding the derivative F'(x) = 3x^2 - 24x and setting it to zero. The factorization yields F'(x) = 3x(x - 8), leading to critical points at x = 0 and x = 8. This analysis confirms the correct identification of critical numbers, essential for understanding the function's behavior.

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physics_ash82
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Im supposed to find the critical numbers for the function:
F(x)= x^3-12x^2
I think I did it right I just needed some reassurance, I got
F'(x)= 3x^2-24
=3x(x-8)
=3x=0 and x-8=0

so the critcal numbers are x=0 and x=8 I think:shy: I hope someone can tell me if I did this right

Thanks
ash
 
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yes, correct [save typo F'(x)= 3x^2-24x = 3x(x-8)]
 
Thank you I might need more help later
:wink:
 

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