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

infinitebrain
Member
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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,489

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

http://www.math.brown.edu/UTRA/trigderivs.html

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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