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Popular >

extreme f(x)=(6x^2)/(x^2-4)

Solution

extreme points

f (x) = \frac{6 x ^{2}}{x ^{2} - 4}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{48 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{6 x ^{2}}{x ^{2} - 4} : 0

Maximum (0, 0)

Popular Examples

extreme f(x)=4+6x^2-4x^3 extreme points

f (x) = 4 + 6 x^{2} - 4 x^{3}

range of (1/3)^x range

(\frac{1}{3})^{x}

perpendicular y=-3-2/5 x perpendicular

y = - 3 - \frac{2}{5} x

domain of f(x)=5x^2 domain

f (x) = 5 x^{2}

inflection f(x)=4x^3-6x^2+5x-6 inflection points

f (x) = 4 x^{3} - 6 x^{2} + 5 x - 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(6x^2)/(x^2-4) ?
The extreme f(x)=(6x^2)/(x^2-4) is Maximum(0,0)