What is the critical f(x)=11x+1/x ?

The critical f(x)=11x+1/x is x=-1/(sqrt(11)),x= 1/(sqrt(11))

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critical f(x)=11x+1/x

critical points

f (x) = 11 x + \frac{1}{x}

x = - \frac{1}{11}, x = \frac{1}{11}

Solution steps

11 x + \frac{1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{11}, x = \frac{1}{11}, x = 0

Identify critical points not in

f (x)

domain

Domain of

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

11 x + \frac{1}{x}

is not defined at

x = 0

, therefore:

x = - \frac{1}{11}, x = \frac{1}{11}

What is the critical f(x)=11x+1/x ?
The critical f(x)=11x+1/x is x=-1/(sqrt(11)),x= 1/(sqrt(11))