What is the critical f(x)=(ln(x))/(x^7) ?

The critical f(x)=(ln(x))/(x^7) is x=\sqrt[7]{e}

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critical f(x)=(ln(x))/(x^7)

critical points

f (x) = \frac{ln ( x )}{x ^{7}}

Solution steps

\frac{ln ( x )}{x ^{7}}

Find where

f^{'} (x)

is equal to zero or undefined

Identify critical points not in

f (x)

domain

Domain of

\frac{ln ( x )}{x ^{7}} : x > 0

\frac{ln ( x )}{x ^{7}}

is not defined at

x = 0

, therefore:

What is the critical f(x)=(ln(x))/(x^7) ?
The critical f(x)=(ln(x))/(x^7) is x=\sqrt[7]{e}