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

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

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critical x/(x^2+2)

critical points

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

x = - 2, x = 2

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 2} : - \infty < x < \infty

All critical points are in domain

x = - 2, x = 2

f (x) = x^{3} + 8 x^{2} + 15 x

- \frac{2}{x}

f (x) = 4 x^{3} - 3 x^{2} - 18 x + 17

(4 - x)^{2} + 6

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