What is the critical (x-2)/(x^2+5x+4) ?

The critical (x-2)/(x^2+5x+4) is x=2-3sqrt(2),x=2+3sqrt(2)

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critical (x-2)/(x^2+5x+4)

critical points

\frac{x - 2}{x ^{2} + 5 x + 4}

x = 2 - 32, x = 2 + 32

Solution steps

\frac{x - 2}{x ^{2} + 5 x + 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = 2 - 32, x = 2 + 32, x = - 4, x = - 1

Identify critical points not in

f (x)

domain

Domain of

\frac{x - 2}{x ^{2} + 5 x + 4} : x < - 4 or - 4 < x < - 1 or x > - 1

\frac{x - 2}{x ^{2} + 5 x + 4}

is not defined at

x = - 4, x = - 1

, therefore:

x = 2 - 32, x = 2 + 32

f (x) = 2 x - 1

(- 4, 2), (4, 2)

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

f (x) = - x^{3} + 8

f (x) = x^{3} + 4 x + 3

What is the critical (x-2)/(x^2+5x+4) ?
The critical (x-2)/(x^2+5x+4) is x=2-3sqrt(2),x=2+3sqrt(2)