en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=x^3-12x+6

Solution

extreme points

y = x^{3} - 12 x + 6

Solution

Maximum (- 2, 22), Minimum (2, - 10)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{3} - 12 x + 6 : 22

Maximum (- 2, 22)

Plug

x = 2

into

x^{3} - 12 x + 6 : - 10

Minimum (2, - 10)

Maximum (- 2, 22), Minimum (2, - 10)

Popular Examples

intercepts of f(x)=((2x-4)(x+1))/(x+1)intercepts

f (x) = \frac{( 2 x - 4 ) ( x + 1 )}{x + 1}

frequency cot(x)frequency

cot (x)

inverse of f(x)=1+sqrt(2+3x)inverse

f (x) = 1 + 2 + 3 x

domain of (9-3x)/(x-5)domain

\frac{9 - 3 x}{x - 5}

inverse of 5+(10+x)^{1/2}inverse

5 + (10 + x)^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the extreme y=x^3-12x+6 ?
The extreme y=x^3-12x+6 is Maximum(-2,22),Minimum(2,-10)