What is the critical f(x)= x/(x^2+9x+14) ?

The critical f(x)= x/(x^2+9x+14) is x=-sqrt(14),x=sqrt(14)

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critical f(x)= x/(x^2+9x+14)

critical points

f (x) = \frac{x}{x ^{2} + 9 x + 14}

x = - 14, x = 14

Solution steps

\frac{x}{x ^{2} + 9 x + 14}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 14, x = 14, x = - 7, x = - 2

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{x ^{2} + 9 x + 14} : x < - 7 or - 7 < x < - 2 or x > - 2

\frac{x}{x ^{2} + 9 x + 14}

is not defined at

x = - 7, x = - 2

, therefore:

x = - 14, x = 14

f (x) = x^{4} + y^{4} - 4 x y + 2

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

f (x) = 2 x^{3} - 24 x + 5

f (x) = 2 x (x - 2)

f (x) = x^{2} + x - 6

What is the critical f(x)= x/(x^2+9x+14) ?
The critical f(x)= x/(x^2+9x+14) is x=-sqrt(14),x=sqrt(14)