What is the critical x^2+(81)/(x^2) ?

The critical x^2+(81)/(x^2) is x=-3,x=3

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critical x^2+(81)/(x^2)

critical points

x^{2} + \frac{81}{x ^{2}}

x = - 3, x = 3

Solution steps

x^{2} + \frac{81}{x ^{2}}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 3, x = 3, x = 0

Identify critical points not in

f (x)

domain

Domain of

x^{2} + \frac{81}{x ^{2}} : x < 0 or x > 0

x^{2} + \frac{81}{x ^{2}}

is not defined at

x = 0

, therefore:

x = - 3, x = 3

f (x) = \frac{3 x}{x - 2}

f (x) = 2 x^{3} + 60 x y + 30 y^{2}

f (x, y) = x y + \frac{8}{y ^{2}} + \frac{8}{x ^{2}}

f (x) = \frac{( x ^{2} - 1 )}{x ^{3}}

f (x) = x^{3} + x + 1