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Popular >

extreme 2x^3-6x

Solution

extreme points

2 x^{3} - 6 x

Solution

Maximum (- 1, 4), Minimum (1, - 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

2 x^{3} - 6 x : 4

Maximum (- 1, 4)

Plug

x = 1

into

2 x^{3} - 6 x : - 4

Minimum (1, - 4)

Maximum (- 1, 4), Minimum (1, - 4)

Popular Examples

parity f(x)=-3x^2+4 parity

f (x) = - 3 x^{2} + 4

range of f(x)=\sqrt[3]{x+2}range

inverse of x-5/3 inverse

x - \frac{5}{3}

domain of f(x)=(2-x^2)/(x^2+2x-48)domain

f (x) = \frac{2 - x ^{2}}{x ^{2} + 2 x - 48}

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

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

Frequently Asked Questions (FAQ)

What is the extreme 2x^3-6x ?
The extreme 2x^3-6x is Maximum(-1,4),Minimum(1,-4)