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Popular >

extreme (x^2)/(x^2-9)

Solution

extreme points

\frac{x ^{2}}{x ^{2} - 9}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{18 x}{( x ^{2} - 9 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 9} : 0

Maximum (0, 0)

Popular Examples

domain of sqrt(x-1)*5x+3 domain

x - 1 \cdot 5 x + 3

slope of 2x+y=9 slope

2 x + y = 9

inverse of f(x)=(x-8)/(1+7x)inverse

f (x) = \frac{x - 8}{1 + 7 x}

range of 1/(1+s^3)range

\frac{1}{1 + s ^{3}}

domain of sqrt(16-x^2)-sqrt(x+1)domain

16 - x^{2} - x + 1

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x^2-9) ?
The extreme (x^2)/(x^2-9) is Maximum(0,0)