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

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

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

critical points

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

x = - 1, x = 1

Solution steps

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

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

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

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

is not defined at

x = 0

, therefore:

x = - 1, x = 1