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

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

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

critical points

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

x = 1

Solution steps

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

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

is not defined at

x = 0

, therefore:

x = 1

y = x + 4 - 2

3^{x - 2}

f (x) = 1 - e^{- 2 x}

f (x) = - 5 x - 9

x + 2 y = 2