en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=4x-9x^{4/9}

Solution

extreme points

y = 4 x - 9 x^{\frac{4}{9}}

Solution

Maximum (1, - 5)

Solution steps

f^{'} (x) = 4 - \frac{4}{x ^{\frac{5}{9}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

4 x - 9 x^{\frac{4}{9}} : - 5

Maximum (1, - 5)

Graph

Popular Examples

extreme f(x)=2x^3+3x^2-72x+1,-4<= x<= 7 extreme points

f (x) = 2 x^{3} + 3 x^{2} - 72 x + 1, - 4 \leq x \leq 7

extreme x^3+3x^2+9x extreme points

x^{3} + 3 x^{2} + 9 x

extreme f(x)=((x^2))/(x^2+243)extreme points

f (x) = \frac{( x ^{2} )}{x ^{2} + 243}

extreme f(x)=sec^2(x)-2sqrt(3)tan(x)extreme points

f (x) = sec^{2} (x) - 23 tan (x)

extreme f(x)=4x^3-12x^2-96x+9 extreme points

f (x) = 4 x^{3} - 12 x^{2} - 96 x + 9

Frequently Asked Questions (FAQ)

What is the extreme y=4x-9x^{4/9} ?
The extreme y=4x-9x^{4/9} is Maximum(1,-5)