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Popular >

extreme 3x^3-36x

Solution

extreme points

3 x^{3} - 36 x

Solution

Maximum (- 2, 48), Minimum (2, - 48)

Solution steps

f^{'} (x) = 9 x^{2} - 36

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

3 x^{3} - 36 x : 48

Maximum (- 2, 48)

Plug

x = 2

into

3 x^{3} - 36 x : - 48

Minimum (2, - 48)

Maximum (- 2, 48), Minimum (2, - 48)

Popular Examples

asymptotes of f(x)=3^{x+1}-2 asymptotes

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

symmetry y=x^2+2x+1 symmetry

y = x^{2} + 2 x + 1

asymptotes of (x^2-16)/(2x+8)asymptotes

\frac{x ^{2} - 16}{2 x + 8}

slope ofintercept y=-4x+7 slope intercept

y = - 4 x + 7

domain of f(x)=x^2+6x-8 domain

f (x) = x^{2} + 6 x - 8

Frequently Asked Questions (FAQ)

What is the extreme 3x^3-36x ?
The extreme 3x^3-36x is Maximum(-2,48),Minimum(2,-48)