What is the critical f(x)=(x-1)/(x^2+4) ?

The critical f(x)=(x-1)/(x^2+4) is x=1-sqrt(5),x=1+sqrt(5)

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critical f(x)=(x-1)/(x^2+4)

critical points

f (x) = \frac{x - 1}{x ^{2} + 4}

x = 1 - 5, x = 1 + 5

Solution steps

\frac{x - 1}{x ^{2} + 4}

Find where

f^{'} (x)

is equal to zero or undefined

x = 1 - 5, x = 1 + 5

Identify critical points not in

f (x)

domain

Domain of

\frac{x - 1}{x ^{2} + 4} : - \infty < x < \infty

All critical points are in domain

x = 1 - 5, x = 1 + 5

x^{4} - 10 x^{2} + 9

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

f (x) = x^{3} - 6 x^{2} + 1

(8.3) (4.7)

\frac{x}{x + 9}

What is the critical f(x)=(x-1)/(x^2+4) ?
The critical f(x)=(x-1)/(x^2+4) is x=1-sqrt(5),x=1+sqrt(5)