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

The critical f(x)=((x^4+4))/(x^2) is x=-sqrt(2),x=sqrt(2)

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

critical points

f (x) = \frac{( x ^{4} + 4 )}{x ^{2}}

x = - 2, x = 2

Solution steps

\frac{x ^{4} + 4}{x ^{2}}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{4} + 4}{x ^{2}} : x < 0 or x > 0

\frac{x ^{4} + 4}{x ^{2}}

is not defined at

x = 0

, therefore:

x = - 2, x = 2

f (x) = 2 x^{3} - 33 x^{2} + 180 x - 7

g (x) = \frac{x ^{3}}{x + 1}

- \frac{2 ( x ^{2} + 1 )}{e ^{x^{2}} x ^{3}}

sin (6 x), 0 \leq x \leq \frac{π}{2}

- \frac{2 ( x ^{2} - 1 )}{x ^{2} - 4}

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