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#1 2009-10-14 13:46:59
- John17
- Guest
Derivatives
Hey, I was just wondering how to do this problem.
1. Find the following derivative BY DEFINITION, meaning no power rule, no quotient rule, no product rule.
y= the square root of 1-4x
Thanks for your help
#2 2009-10-15 00:52:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Derivatives
Hi John17;
Haven't done these in a long time.
Multiply top and bottom by:
Now the limit operator is allowed to get inside those radicals and do them term by term :
Last edited by bobbym (2009-10-17 23:49:09)
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.
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#3 2009-10-15 10:30:44
- John17
- Guest
Re: Derivatives
Thanks a ton
Now I understand how to do it. 
#4 2009-10-15 16:12:01
- soroban
- Member
- Registered: 2007-03-09
- Posts: 452
Re: Derivatives
.
Nice work and great LaTeX, bobbym!
Just a suggestion . . . use \to for the right arrow.
.
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#5 2009-10-15 16:41:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Derivatives
Hi soroban;
I forgot the \to command!!!! So I was stuck using the arrow. Looked ugly. Thanks for spotting it and offering a correction I have adjusted the post. Thanks again!
Last edited by bobbym (2009-10-17 23:49:42)
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.
Offline
#6 2009-10-15 20:51:04
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Derivatives
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#7 2009-10-16 18:55:37
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Derivatives
Hi Jane;
True, I don't know how I missed that. I guess we didn't pay it enough attention because it was just an example to demonstrate \to.
Last edited by bobbym (2009-10-16 18:59:04)
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.
Offline
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