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#1 2013-10-23 13:21:43

Registered: 2008-07-01
Posts: 153

Derivative of arcsec(1/t)

My textbook keeps saying it is

. Could someone work it step by step and show me how that answer is derived. I would appreciate it because I keep getting lost. Thanks![

The best thing about life is you don't know what to expect


#2 2013-10-23 16:31:10

From: Bumpkinland
Registered: 2009-04-12
Posts: 86,705

Re: Derivative of arcsec(1/t)

Hi infinitebrain;

Your textbook is correct.

You can start with this page which shows how to get the derivative of arcsec

Then you just use the chain rule.

From the above link:

The chain rule says:

Now just substitute u = 1 / t and clean up.

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.


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