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Popular >

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

Solution

extreme points

\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

extreme y=(x^3)/(x^2-4)extreme points

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

extreme f(x)=1-e^{-kx}extreme points

f (x) = 1 - e^{- k x}

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

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

extreme 1/(x+1)extreme points

\frac{1}{x + 1}

extreme f(x)=x^2+4x+4,-4<= x<= 0 extreme points

f (x) = x^{2} + 4 x + 4, - 4 \leq x \leq 0

Frequently Asked Questions (FAQ)

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