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), Maximum (3, 29)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 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 : 29

Maximum (3, 29)

Saddle (0, 2), Maximum (3, 29)

Popular Examples

range of 3/5 sqrt(x-3)-3 range

\frac{3}{5} x - 3 - 3

inflection f(x)=-1/3 x^3+7x^2 inflection points

f (x) = - \frac{1}{3} x^{3} + 7 x^{2}

inflection f(x)= x/(x+1)inflection points

f (x) = \frac{x}{x + 1}

periodicity of f(x)=cos(2x-pi/2)periodicity

f (x) = cos (2 x - \frac{π}{2})

intercepts of f(x)=2x+3 intercepts

f (x) = 2 x + 3

Frequently Asked Questions (FAQ)

What is the extreme-x^4+4x^3+2 ?
The extreme-x^4+4x^3+2 is Saddle(0,2),Maximum(3,29)