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Popular >

extreme f(x)=x^3-12x

Solution

extreme points

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

Solution

Maximum (- 2, 16), Minimum (2, - 16)

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x : 16

Maximum (- 2, 16)

Plug

x = 2

into

x^{3} - 12 x : - 16

Minimum (2, - 16)

Maximum (- 2, 16), Minimum (2, - 16)

Popular Examples

monotone f(x)= 1/3 x^3-3/2 x^2 monotone intervals

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

inverse of f(x)=25 inverse

f (x) = 25

slope ofintercept x+y=15 slope intercept

x + y = 15

parity x^3+x parity

x^{3} + x

asymptotes of (x^2+2)/(x-2)asymptotes

\frac{x ^{2} + 2}{x - 2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-12x ?
The extreme f(x)=x^3-12x is Maximum(-2,16),Minimum(2,-16)