What is the critical f(x)=(x-5)/(x^2+2) ?

The critical f(x)=(x-5)/(x^2+2) is x=5-3sqrt(3),x=5+3sqrt(3)

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critical f(x)=(x-5)/(x^2+2)

critical points

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

x = 5 - 33, x = 5 + 33

Solution steps

\frac{x - 5}{x ^{2} + 2}

Find where

f^{'} (x)

is equal to zero or undefined

x = 5 - 33, x = 5 + 33

Identify critical points not in

f (x)

domain

Domain of

\frac{x - 5}{x ^{2} + 2} : - \infty < x < \infty

All critical points are in domain

x = 5 - 33, x = 5 + 33

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

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

f (x) = \frac{9}{( \frac{x}{x + 9} )}

f (x) = \frac{1}{x ^{2} + 2 x - 15}

f (x) = \frac{x ^{2} + 15 x + 54}{x + 6}

What is the critical f(x)=(x-5)/(x^2+2) ?
The critical f(x)=(x-5)/(x^2+2) is x=5-3sqrt(3),x=5+3sqrt(3)