What is the critical x/(x^2+11x+30) ?

The critical x/(x^2+11x+30) is x=-sqrt(30),x=sqrt(30)

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critical x/(x^2+11x+30)

critical points

\frac{x}{x ^{2} + 11 x + 30}

x = - 30, x = 30

Solution steps

\frac{x}{x ^{2} + 11 x + 30}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 30, x = 30, x = - 6, x = - 5

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 11 x + 30} : x < - 6 or - 6 < x < - 5 or x > - 5

\frac{x}{x ^{2} + 11 x + 30}

is not defined at

x = - 6, x = - 5

, therefore:

x = - 30, x = 30

f (x) = (8 - 6 x) e^{x}

f (x) = 3 x^{2} - 18 x + 15

f (x) = 12 cos (x) + 6 sin^{2} (x)

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

x^{4} + x^{3} - 6 x^{2}

What is the critical x/(x^2+11x+30) ?
The critical x/(x^2+11x+30) is x=-sqrt(30),x=sqrt(30)