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Popular >

extreme 2x^3-24x

Solution

extreme points

2 x^{3} - 24 x

Solution

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

Solution steps

f^{'} (x) = 6 x^{2} - 24

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x^{3} - 24 x : 32

Maximum (- 2, 32)

Plug

x = 2

into

2 x^{3} - 24 x : - 32

Minimum (2, - 32)

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

Popular Examples

inverse of f(x)=-7x+3 inverse

f (x) = - 7 x + 3

extreme 3x^{2/3}-2x extreme points

3 x^{\frac{2}{3}} - 2 x

extreme y=-5x-e^{-5x}extreme points

y = - 5 x - e^{- 5 x}

domain of f(x)=-4x-5 domain

f (x) = - 4 x - 5

range of (x^2-9x)/(x^2-81)range

\frac{x ^{2} - 9 x}{x ^{2} - 81}

Frequently Asked Questions (FAQ)

What is the extreme 2x^3-24x ?
The extreme 2x^3-24x is Maximum(-2,32),Minimum(2,-32)