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Popular >

extreme f(x)=2x^3-6x

Solution

extreme points

f (x) = 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

symmetry (2x^2)/(x^2-1)symmetry

\frac{2 x ^{2}}{x ^{2} - 1}

shift f(x)=2sin(x-pi/3)shift

f (x) = 2 sin (x - \frac{π}{3})

slope ofintercept 6x+5y=5 slope intercept

6 x + 5 y = 5

asymptotes of f(x)=(x-3)/(x^2-10x+21)asymptotes

f (x) = \frac{x - 3}{x ^{2} - 10 x + 21}

range of f(x)=sqrt(x^2+1)range

f (x) = x^{2} + 1

Frequently Asked Questions (FAQ)

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