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Popular >

extreme 1/(x^2-1)

Solution

extreme points

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

Solution

Maximum (0, - 1)

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{1}{x ^{2} - 1} : - 1

Maximum (0, - 1)

Popular Examples

extreme f(x)=x^3-5x^2+3x+12 extreme points

f (x) = x^{3} - 5 x^{2} + 3 x + 12

extreme f(x)=(x-8)e^{-9x}extreme points

f (x) = (x - 8) e^{- 9 x}

extreme 3x^4-8x^3+6x^2 extreme points

3 x^{4} - 8 x^{3} + 6 x^{2}

extreme 1/(x^2+1)extreme points

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

extreme f(x,y)=x^2+y^2+1 extreme points

f (x, y) = x^{2} + y^{2} + 1

Frequently Asked Questions (FAQ)

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