What is the critical f(x)=x^4-2x^2+2 ?

The critical f(x)=x^4-2x^2+2 is x=-1,x=0,x=1

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critical f(x)=x^4-2x^2+2

critical points

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

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

Solution steps

x^{4} - 2 x^{2} + 2

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

x^{4} - 2 x^{2} + 2 : - \infty < x < \infty

All critical points are in domain

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

5 (x + 4)^{2} + 2

- cos (x)

f (x) = 2 x

f (x) = x (x - 2)

x + 4 - 3

What is the critical f(x)=x^4-2x^2+2 ?
The critical f(x)=x^4-2x^2+2 is x=-1,x=0,x=1