en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=54x^4-8x

Solution

extreme points

f (x) = 54 x^{4} - 8 x

Solution

Minimum (\frac{1}{3}, - 2)

Solution steps

f^{'} (x) = 216 x^{3} - 8

Find intervals:

Decreasing

: - \infty < x < \frac{1}{3},

Increasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

54 x^{4} - 8 x : - 2

Minimum (\frac{1}{3}, - 2)

Popular Examples

extreme (x^3)/(x^2+x-2)extreme points

\frac{x ^{3}}{x ^{2} + x - 2}

extreme f(x)=x^4+18x^2+5,-6<= x<= 6 extreme points

f (x) = x^{4} + 18 x^{2} + 5, - 6 \leq x \leq 6

extreme ((x-1))/((x^2-x+1))extreme points

\frac{( x - 1 )}{( x ^{2} - x + 1 )}

extreme f(x)=(x^2-4y^2)e^{1-x^2-y^2}extreme points

f (x) = (x^{2} - 4 y^{2}) e^{1 - x^{2} - y^{2}}

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=54x^4-8x ?
The extreme f(x)=54x^4-8x is Minimum(1/3 ,-2)