Math Is Fun Forum

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![

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

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

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.

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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.
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