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Popular >

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

Solution

extreme points

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

Solution

Maximum (0, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 1} : 0

Maximum (0, 0)

Popular Examples

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Q (x, y) = (x + 3 y) (x - 3 x y + 9 y)

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d/(da)(a^5+a^2b^3-a^3b^2-b^5)

\frac{d}{d a} (a^{5} + a^{2} b^{3} - a^{3} b^{2} - b^{5})

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extreme f(x,y)=x^2+4x+7y^2-28y+2 extreme points

f (x, y) = x^{2} + 4 x + 7 y^{2} - 28 y + 2

Frequently Asked Questions (FAQ)

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