Math Is Fun Forum

markosheehan

Member

Registered: 2016-06-15

Posts: 51

differentiation

prove that the differentiation of a constant is always zero from first principals.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: differentiation

Hmmm, straight out of the book. Make friends with Paul, he is a real good guy...

http://tutorial.math.lamar.edu/Classes/ … roofs.aspx

The first time I met Paul was at a symposium over at the Brooklyn Navy Yard. Einstein was the guest speaker and as usual he was late. Von Neumann, who was the master of affairs there asked if I would fill in. I was putting my stuff down and preparing to walk onto the dais when John noticed I was not wearing a tie. "Sorry", he said, "you can not speak without a tie." But Einstein will not have a tie, I exclaimed. He said,"he is allowed". Paul was next to me and said "tough break." So the moral is, always have a tie in your pocket.

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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.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: differentiation

hi markosheehan

Well first principles would require the limit as h tends to zero of

As f(x+h) = f(h) = constant the numerator is zero for all h.  So the limit is certainly zero as well.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: differentiation

hi bobbym,

Hhmm. Beaten by seconds.  But your limit is x tends to infinity.  Quick edit needed. 

No one else is watching. 

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: differentiation

Thanks Bob! Sorry for the confusion.

---

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.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: differentiation

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: differentiation

Hi thickhead;

I finally got it copied correctly now, thanks!

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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.
Always satisfy the Prime Directive of getting the right answer above all else.