Asked by Tara

find the derivative of the function:

f(x)=6ln(x)/x^9
Answered by Steve
f = 6ln(x) * x^-9
f' = 6/x - 9x^-10
or, 3/x (2-3/x^9)
Answered by Reiny
Steve, we are looking at a product rule.

f'(x) = 6ln x (-9x^-10) + x^-9 (6/x)
= -54lnx/x^10 + 6/x^10
or
= 6/x^10 (-9lnx + 1)
Answered by Steve
Good catch, Reiny.
What was I thinking?!?
Answered by Steve
Sorry, Tara. You must have been scratching your head on that one.

As Bugs Bunny was wont to say:

That's pretty good, Doc, but it ain't the way I heered it!
Answered by Tara
Thank you, and I was a bit confused. Thanks though!
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