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

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

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

critical points

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

x = 1

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

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

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

is not defined at

x = 0

, therefore:

x = 1

f (x) = x^{4}

f (x) = - x

f (x) = - \frac{1}{5} x + 15

f (x) = \frac{1}{x + 8} + \frac{3}{x - 10}

h (t) = - 16 t^{2} + 96 t