What is the critical f(x)=x^3+(16)/x ?

The critical f(x)=x^3+(16)/x is x=-2/(\sqrt[4]{3)},x= 2/(\sqrt[4]{3)}

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critical f(x)=x^3+(16)/x

critical points

f (x) = x^{3} + \frac{16}{x}

Solution steps

x^{3} + \frac{16}{x}

Find where

f^{'} (x)

is equal to zero or undefined

Identify critical points not in

f (x)

domain

Domain of

x^{3} + \frac{16}{x} : x < 0 or x > 0

x^{3} + \frac{16}{x}

is not defined at

x = 0

, therefore:

What is the critical f(x)=x^3+(16)/x ?
The critical f(x)=x^3+(16)/x is x=-2/(\sqrt[4]{3)},x= 2/(\sqrt[4]{3)}