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

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

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

critical points

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

x = - 1, x = 1

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} + 1}{x} : x < 0 or x > 0

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

is not defined at

x = 0

, therefore:

x = - 1, x = 1

f (x) = x^{4} e^{- 2 x}

y = x - \frac{1}{x}

f (x) = 3 x^{4} + 4 x^{3} - 12 x^{2}

(x^{2} - 4)^{\frac{2}{3}}

x^{- 2} ln (x)