What is the critical f(x)=x^3+x+4/x ?

The critical f(x)=x^3+x+4/x is x=-1,x=1

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critical f(x)=x^3+x+4/x

critical points

f (x) = x^{3} + x + \frac{4}{x}

x = - 1, x = 1

Solution steps

x^{3} + x + \frac{4}{x}

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^{3} + x + \frac{4}{x} : x < 0 or x > 0

x^{3} + x + \frac{4}{x}

is not defined at

x = 0

, therefore:

x = - 1, x = 1