en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 4x^{3/4}-x

Solution

extreme points

4 x^{\frac{3}{4}} - x

Solution

Maximum (0, 0), Maximum (81, 27)

Solution steps

f^{'} (x) = \frac{3}{x ^{\frac{1}{4}}} - 1

Find intervals:

Decreasing

: 0 \leq x < \frac{1}{81},

Increasing

: \frac{1}{81} < x < \infty

Plug

x = 0

into

4 x^{\frac{3}{4}} - x : 0

Maximum (0, 0)

Plug

x = 81

into

4 x^{\frac{3}{4}} - x : 27

Maximum (81, 27)

Maximum (0, 0), Maximum (81, 27)

Graph

Popular Examples

extreme f(x)= t/(t-1)extreme points

f (x) = \frac{t}{t - 1}

extreme f(x)= 2/3 x^3+1/2 x^2-21x+2 extreme points

f (x) = \frac{2}{3} x^{3} + \frac{1}{2} x^{2} - 21 x + 2

extreme x\sqrt[3]{x^2-4}extreme points

x 3 x^{2} - 4

extreme 3x^3+8 extreme points

3 x^{3} + 8

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

f (x) = \frac{x ^{2} - 4}{x - 4}

Frequently Asked Questions (FAQ)

What is the extreme 4x^{3/4}-x ?
The extreme 4x^{3/4}-x is Maximum(0,0),Maximum(81,27)