en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=4x-5x^{4/5}

Solution

extreme points

f (x) = 4 x - 5 x^{\frac{4}{5}}

Solution

Maximum (1, - 1)

Solution steps

f^{'} (x) = 4 - \frac{4}{x ^{\frac{1}{5}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

4 x - 5 x^{\frac{4}{5}} : - 1

Maximum (1, - 1)

Graph

Popular Examples

extreme f(x)=3x^4+3x^3+3 extreme points

f (x) = 3 x^{4} + 3 x^{3} + 3

extreme f(x)= 1/(x(x-3)^2)extreme points

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

extreme f(x)=x+7/x extreme points

f (x) = x + \frac{7}{x}

extreme (4x)/(x^2+1)extreme points

\frac{4 x}{x ^{2} + 1}

extreme-2/(x^2-4)extreme points

- \frac{2}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x-5x^{4/5} ?
The extreme f(x)=4x-5x^{4/5} is Maximum(1,-1)