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#1 2009-01-19 08:52:26
- LuisRodg
- Real Member
- Registered: 2007-10-23
- Posts: 322
Proving the product rule of differentiation using induction.
Alright so I set out to prove this by induction:
And im stuck here. Could anyone offer some help? Please dont give me the full answer.
I would really appreciate some help.
Thanks!
Last edited by LuisRodg (2009-01-19 09:01:33)
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#2 2009-01-19 18:04:40
- Ricky
- Moderator
- Registered: 2005-12-04
- Posts: 3,791
Re: Proving the product rule of differentiation using induction.
I haven't checked over the work thoroughly, but it seems right. You want to change the indices of the summations by changing ever occurrence of r to r - k. Then your sum will be from k to n + k. In your case, k = 1.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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#3 2009-01-20 01:40:37
- Kurre
- Member
- Registered: 2006-07-18
- Posts: 280
Re: Proving the product rule of differentiation using induction.
Remember the formula c(n,k)=c(n-1,k)+c(n-1,k-1).
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