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

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

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

critical points

f (x) = 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

f (x) = 4 - 2 x^{3} - 2 y^{3} + 24 x + 6 y

y = x e^{- k x}

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

f (x) = (ln (x))^{2}

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

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