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Popular >

extreme f(x)=(3x^2)/(x^2-4)

Solution

extreme points

f (x) = \frac{3 x ^{2}}{x ^{2} - 4}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{24 x}{( x ^{2} - 4 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

\frac{3 x ^{2}}{x ^{2} - 4} : 0

Maximum (0, 0)

Popular Examples

distance (0,0),(8,6)distance

(0, 0), (8, 6)

inverse of f(x)=3^{x-1}inverse

f (x) = 3^{x - 1}

slope of x+2y=-1 slope

x + 2 y = - 1

domain of f(x)= 4/9 x^2-6x+5,x=9 domain

f (x) = \frac{4}{9} x^{2} - 6 x + 5, x = 9

range of f(x)=2(x-2)^2-1 range

f (x) = 2 (x - 2)^{2} - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(3x^2)/(x^2-4) ?
The extreme f(x)=(3x^2)/(x^2-4) is Maximum(0,0)