What is the critical f(x)= x/(x^2+7x+10) ?

The critical f(x)= x/(x^2+7x+10) is x=-sqrt(10),x=sqrt(10)

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critical f(x)= x/(x^2+7x+10)

critical points

f (x) = \frac{x}{x ^{2} + 7 x + 10}

x = - 10, x = 10

Solution steps

\frac{x}{x ^{2} + 7 x + 10}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 10, x = 10, x = - 5, x = - 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 7 x + 10} : x < - 5 or - 5 < x < - 2 or x > - 2

\frac{x}{x ^{2} + 7 x + 10}

is not defined at

x = - 5, x = - 2

, therefore:

x = - 10, x = 10

What is the critical f(x)= x/(x^2+7x+10) ?
The critical f(x)= x/(x^2+7x+10) is x=-sqrt(10),x=sqrt(10)