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^2)/(x^2-64)

Solution

extreme points

f (x) = \frac{x ^{2}}{x ^{2} - 64}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{128 x}{( x ^{2} - 64 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 8,

Increasing

: - 8 < x < 0,

Decreasing

: 0 < x < 8,

Decreasing

: 8 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 64} : 0

Maximum (0, 0)

Popular Examples

extreme f(x)=-x-((64)/x)extreme points

f (x) = - x - (\frac{64}{x})

extreme f(x)=-0.3x^2+42x+200 extreme points

f (x) = - 0.3 x^{2} + 42 x + 200

extreme y=x(x-4)^3 extreme points

y = x (x - 4)^{3}

extreme f(x,y)=x^4+6sqrt(y-10)extreme points

f (x, y) = x^{4} + 6 y - 10

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

f (x) = (x - 2)^{3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/(x^2-64) ?
The extreme f(x)=(x^2)/(x^2-64) is Maximum(0,0)