en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^4-108x

Solution

extreme points

f (x) = x^{4} - 108 x

Solution

Minimum (3, - 243)

Solution steps

f^{'} (x) = 4 x^{3} - 108

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

x^{4} - 108 x : - 243

Minimum (3, - 243)

Popular Examples

extreme f(x,y)=11x^2-2xy+2y^2+3 extreme points

f (x, y) = 11 x^{2} - 2 x y + 2 y^{2} + 3

extreme y=(2e^{3x})/(-3x-1)extreme points

y = \frac{2 e ^{3 x}}{- 3 x - 1}

extreme f(x)=6x^4+11x^3-x^2+x extreme points

f (x) = 6 x^{4} + 11 x^{3} - x^{2} + x

extreme f(x)=-25x^2-20y^2+300x+480y+200 extreme points

f (x) = - 25 x^{2} - 20 y^{2} + 300 x + 480 y + 200

extreme 24x^3-3x^4-x^3(24-3x)extreme points

24 x^{3} - 3 x^{4} - x^{3} (24 - 3 x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^4-108x ?
The extreme f(x)=x^4-108x is Minimum(3,-243)