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Popular >

extreme f(x)=(4x^2)/(x^2-9)

Solution

extreme points

f (x) = \frac{4 x ^{2}}{x ^{2} - 9}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{72 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{4 x ^{2}}{x ^{2} - 9} : 0

Maximum (0, 0)

Popular Examples

inverse of f(x)=-8x-10 inverse

f (x) = - 8 x - 10

slope of 7x-7y=7 slope

7 x - 7 y = 7

inverse of f(x)= 1/3 (x-5)inverse

f (x) = \frac{1}{3} (x - 5)

intercepts of x^3+2x^2-x-2 intercepts

x^{3} + 2 x^{2} - x - 2

intercepts of f(x)=x^2+8x-9 intercepts

f (x) = x^{2} + 8 x - 9

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(4x^2)/(x^2-9) ?
The extreme f(x)=(4x^2)/(x^2-9) is Maximum(0,0)