Math Is Fun Forum

ConfusedStudent

Guest

What is the Differentiation of (lnx)^n?

Hello people,

I was wondering how you would work out the differentiation of (lnx)^n.

I would have thought that it is n((lnx)^n-1)/x, but the answer in my book says that it is just n((lnx)^n-1).

What is the reason behind this?

Thank you for your help.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: What is the Differentiation of (lnx)^n?

Hi ConfusedStudent;

I believe you are right and the book answer is not.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

ZHero

Real Member

Registered: 2008-06-08

Posts: 1,889

Re: What is the Differentiation of (lnx)^n?

Hi ConfusedStudent!

What is the reason behind this?

not to confuse you more but one of the reasons can be that the book is differentiating w.r.t.

instead of the usual

or else, the other reason might be simply a printing mistake!

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If two or more thoughts intersect, there has to be a point!