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

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

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

critical points

f (x) = \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

5 - 10 - 2 x

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

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

a^{3} y = x^{3} (4 a - 3 x)

f (x) = 3 x^{2} - 1

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