en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x-9)(x-3)^2

Solution

extreme points

(x - 9) (x - 3)^{2}

Solution

Maximum (3, 0), Minimum (7, - 32)

Solution steps

f^{'} (x) = 3 (x - 3) (x - 7)

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = 3

into

(x - 9) (x - 3)^{2} : 0

Maximum (3, 0)

Plug

x = 7

into

(x - 9) (x - 3)^{2} : - 32

Minimum (7, - 32)

Maximum (3, 0), Minimum (7, - 32)

Popular Examples

slope of x+2y=16 slope

x + 2 y = 16

inflection f(x)=-3x^5+5x^3 inflection points

f (x) = - 3 x^{5} + 5 x^{3}

asymptotes of 2x+sqrt(4x^2+7)asymptotes

2 x + 4 x^{2} + 7

inverse of 8+\sqrt[3]{x}inverse

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

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

Frequently Asked Questions (FAQ)

What is the extreme (x-9)(x-3)^2 ?
The extreme (x-9)(x-3)^2 is Maximum(3,0),Minimum(7,-32)