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Popular >

extreme-x^3+12x-16

Solution

extreme points

- x^{3} + 12 x - 16

Solution

Minimum (- 2, - 32), Maximum (2, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

- x^{3} + 12 x - 16 : - 32

Minimum (- 2, - 32)

Plug

x = 2

into

- x^{3} + 12 x - 16 : 0

Maximum (2, 0)

Minimum (- 2, - 32), Maximum (2, 0)

Popular Examples

domain of f(x)=sqrt(x^2-18)domain

f (x) = x^{2} - 18

asymptotes of f(x)=2csc(3(x-pi/4))asymptotes

f (x) = 2 csc (3 (x - \frac{π}{4}))

range of (-5x)/(x-8)range

\frac{- 5 x}{x - 8}

asymptotes of x/(x^2+5)asymptotes

\frac{x}{x ^{2} + 5}

domain of f(x)=(x^3-x)/(1+x^2)domain

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

Frequently Asked Questions (FAQ)

What is the extreme-x^3+12x-16 ?
The extreme-x^3+12x-16 is Minimum(-2,-32),Maximum(2,0)