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Popular >

extreme (x^2)/(x^2-16)

Solution

extreme points

\frac{x ^{2}}{x ^{2} - 16}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{32 x}{( x ^{2} - 16 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 4,

Increasing

: - 4 < x < 0,

Decreasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 16} : 0

Maximum (0, 0)

Popular Examples

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

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

inverse of f(x)=ln(3x+2)inverse

f (x) = ln (3 x + 2)

midpoint (14,-2),(7,-8)midpoint

(14, - 2), (7, - 8)

inverse of f(x)=(x-9)^3 inverse

f (x) = (x - 9)^{3}

domain of (4x^2+1)/(x^2+x+16)domain

\frac{4 x ^{2} + 1}{x ^{2} + x + 16}

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x^2-16) ?
The extreme (x^2)/(x^2-16) is Maximum(0,0)