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

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

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

critical points

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

x = - \frac{1}{2}, x = \frac{1}{2}

Solution steps

2 x + \frac{1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{2}, x = \frac{1}{2}, x = 0

Identify critical points not in

f (x)

domain

Domain of

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

2 x + \frac{1}{x}

is not defined at

x = 0

, therefore:

x = - \frac{1}{2}, x = \frac{1}{2}

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

f (θ) = 2 cos (θ) + sin^{2} (θ)

2 x^{2} ln (x)

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

\frac{x}{1 + x}

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