What is the critical x/(x^2+3x+2) ?

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

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critical x/(x^2+3x+2)

critical points

\frac{x}{x ^{2} + 3 x + 2}

x = - 2, x = 2

Solution steps

\frac{x}{x ^{2} + 3 x + 2}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2, x = - 2, x = - 1

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 3 x + 2} : x < - 2 or - 2 < x < - 1 or x > - 1

\frac{x}{x ^{2} + 3 x + 2}

is not defined at

x = - 2, x = - 1

, therefore:

x = - 2, x = 2

\frac{4}{x ^{3}}

f (x) = x^{2} - 12 x + 9

f (x) = x^{2} - 12 x + 1

f (x) = \frac{e ^{x} + e ^{- x}}{5}

f (x) = - \frac{2 x}{( x ^{2} - 1 ) ^{2}}

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