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Popular Functions >

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

Solution

extreme points

f (x) = \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)

Graph

Popular Examples

domain of f(x)=(sqrt((13-2x)))/(x-4)

d o main f (x) = \frac{( 13 - 2 x )}{x - 4}

inverse of y=x^2+x-1

in v erse y = x^{2} + x - 1

parity f(x)=x^5+3x^4

p a r i t y f (x) = x^{5} + 3 x^{4}

r an g e \frac{1}{x} + 3

domain of f(x)=|x-4|

d o main f (x) = ∣ x - 4 ∣

Frequently Asked Questions (FAQ)

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