What is the critical x/(x^2+14x+45) ?

The critical x/(x^2+14x+45) is x=-3sqrt(5),x=3sqrt(5)

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critical x/(x^2+14x+45)

critical points

\frac{x}{x ^{2} + 14 x + 45}

x = - 35, x = 35

Solution steps

\frac{x}{x ^{2} + 14 x + 45}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 35, x = 35, x = - 9, x = - 5

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 14 x + 45} : x < - 9 or - 9 < x < - 5 or x > - 5

\frac{x}{x ^{2} + 14 x + 45}

is not defined at

x = - 9, x = - 5

, therefore:

x = - 35, x = 35

What is the critical x/(x^2+14x+45) ?
The critical x/(x^2+14x+45) is x=-3sqrt(5),x=3sqrt(5)