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

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

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critical (x^2+x)/(x^2-1)

critical points

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

None

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 1

Identify critical points not in

f (x)

domain

Domain of

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

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

is not defined at

x = 1

, therefore:

None

f (x) = e^{x^{2} - 7 x - 1}

f (x) = \frac{( ( x - 6 ) ^{(\frac{1}{3})} )}{x - 2}

y = - x^{4} - x^{3} + x^{2} + 3 x + 2

f (x) = x^{3} - 5 x^{2} + 3 x + 10

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