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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![

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

From: Bumpkinland
Registered: 2009-04-12
Posts: 106,410

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.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.


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