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

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

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

critical points

y = \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

f (x) = x + 5

f (x, y) = 6 x^{2} + 5 x^{3} y^{4} - 10 y^{5}

f (x) = x - 2

f (x) = \frac{3 x ^{2}}{x - 7}

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