en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3+2x^2+x-2

Solution

extreme points

x^{3} + 2 x^{2} + x - 2

Solution

Maximum (- 1, - 2), Minimum (- \frac{1}{3}, - \frac{58}{27})

Solution steps

f^{'} (x) = 3 x^{2} + 4 x + 1

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < - \frac{1}{3},

Increasing

: - \frac{1}{3} < x < \infty

Plug

x = - 1

into

x^{3} + 2 x^{2} + x - 2 : - 2

Maximum (- 1, - 2)

Plug

x = - \frac{1}{3}

into

x^{3} + 2 x^{2} + x - 2 : - \frac{58}{27}

Minimum (- \frac{1}{3}, - \frac{58}{27})

Maximum (- 1, - 2), Minimum (- \frac{1}{3}, - \frac{58}{27})

Popular Examples

inflection f(x)=(x^2-4)^2 inflection points

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

domain of (x^2-9)/(x^2-4x+3)domain

\frac{x ^{2} - 9}{x ^{2} - 4 x + 3}

asymptotes of f(x)=(-2x+4)/(x^2-4)asymptotes

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

asymptotes of f(x)=5*2^x asymptotes

f (x) = 5 \cdot 2^{x}

inverse of f(x)=(4x+9)/(3x-4)inverse

f (x) = \frac{4 x + 9}{3 x - 4}

Frequently Asked Questions (FAQ)

What is the extreme x^3+2x^2+x-2 ?
The extreme x^3+2x^2+x-2 is Maximum(-1,-2),Minimum(-1/3 ,-58/27)