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Popular >

extreme f(x)= 1/(x^2-4)

Solution

extreme points

f (x) = \frac{1}{x ^{2} - 4}

Solution

Maximum (0, - \frac{1}{4})

Solution steps

f^{'} (x) = - \frac{2 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{1}{x ^{2} - 4} : - \frac{1}{4}

Maximum (0, - \frac{1}{4})

Popular Examples

domain of f(x)=(2x(x+1))/(x+1)domain

f (x) = \frac{2 x ( x + 1 )}{x + 1}

midpoint (-2,-7),(0,5)midpoint

(- 2, - 7), (0, 5)

asymptotes of (x^3-3x^2-4x)/(x-4)asymptotes

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

domain of f(x)=(1-3x)/2 domain

f (x) = \frac{1 - 3 x}{2}

asymptotes of-(1/3)^x asymptotes

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 1/(x^2-4) ?
The extreme f(x)= 1/(x^2-4) is Maximum(0,-1/4)