en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme y=2+3x-x^3

Solution

extreme points

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

Solution

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

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

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

Minimum (- 1, 0)

Plug

x = 1

into

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

Maximum (1, 4)

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

Graph

Popular Examples

extreme f(x)=x^2+9x+9

extreme 6xy-x^2y-xy^2

extreme f(x)=2x^3-3x^2-72x+9,-4<= x<= 5

extreme f(x)=-3x^2+42x-141

extreme f(x)=x^2+9x-2

Frequently Asked Questions (FAQ)

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