What is the critical f(x)= x/(x^2-1) ?

The critical f(x)= x/(x^2-1) is None

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

critical points

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

None

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} - 1} : x < - 1 or - 1 < x < 1 or x > 1

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

is not defined at

x = - 1, x = 1

, therefore:

None

- 2 x^{2} - 2 x - 2

f (x) = \frac{2}{x + 3}

f (x) = \frac{x + 20}{x - 5}

(- 4, - 2), (6, 2)

f (x) = x^{2} - 10 x + 16