en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^4-4x^3+2

Solution

extreme points

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

Solution

Saddle (0, 2), Minimum (3, - 25)

Solution steps

f^{'} (x) = 4 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

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

Saddle (0, 2)

Plug

x = 3

into

x^{4} - 4 x^{3} + 2 : - 25

Minimum (3, - 25)

Saddle (0, 2), Minimum (3, - 25)

Popular Examples

midpoint (4,-7),(12,-1)midpoint

(4, - 7), (12, - 1)

domain of-x^2+16x-62 domain

- x^{2} + 16 x - 62

asymptotes of y= 2/(x+2)+1 asymptotes

y = \frac{2}{x + 2} + 1

parity f(x)=x^2+6 parity

f (x) = x^{2} + 6

extreme f(x)=x^3-2x^2-4x+7 extreme points

f (x) = x^{3} - 2 x^{2} - 4 x + 7

Frequently Asked Questions (FAQ)

What is the extreme x^4-4x^3+2 ?
The extreme x^4-4x^3+2 is Saddle(0,2),Minimum(3,-25)