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Popular >

extreme f(x)=x^3-12

Solution

extreme points

f (x) = x^{3} - 12

Solution

Saddle (0, - 12)

Solution steps

f^{'} (x) = 3 x^{2}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} - 12 : - 12

Saddle (0, - 12)

Popular Examples

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f (x) = \frac{1}{( x + 3 ) ^{2}}

asymptotes of f(x)=(2x+2)/(x-2)asymptotes

f (x) = \frac{2 x + 2}{x - 2}

critical f(x)=(12-4x)e^x critical points

f (x) = (12 - 4 x) e^{x}

range of f(x)=-1/(sqrt(x))range

f (x) = - \frac{1}{x}

domain of 49x+64 domain

49 x + 64

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-12 ?
The extreme f(x)=x^3-12 is Saddle(0,-12)