en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme-x^3+3x-2

Solution

extreme points

- x^{3} + 3 x - 2

Solution

Minimum (- 1, - 4), Maximum (1, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

- x^{3} + 3 x - 2 : - 4

Minimum (- 1, - 4)

Plug

x = 1

into

- x^{3} + 3 x - 2 : 0

Maximum (1, 0)

Minimum (- 1, - 4), Maximum (1, 0)

Popular Examples

slope ofintercept 4x+y=6 slope intercept

4 x + y = 6

parity f(x)=-6x^2-1 parity

f (x) = - 6 x^{2} - 1

critical f(x)=x^{4/5}(x-4)^2 critical points

f (x) = x^{\frac{4}{5}} (x - 4)^{2}

inverse of f(x)=(x+3)/2 inverse

f (x) = \frac{x + 3}{2}

extreme 4x-7x^{4/7}extreme points

4 x - 7 x^{\frac{4}{7}}

Frequently Asked Questions (FAQ)

What is the extreme-x^3+3x-2 ?
The extreme-x^3+3x-2 is Minimum(-1,-4),Maximum(1,0)