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

The critical x/(x^2+1) is x=-1,x=1

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critical x/(x^2+1)

critical points

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

x = - 1, x = 1

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} : - \infty < x < \infty

All critical points are in domain

x = - 1, x = 1

f (x) = 0.5

(- 5.9) (35.18)

f (x) = x^{2} - 6 x + 5

\frac{2 x + 3}{x + 2}

lo g_{5} (x + 2)