Can any kind knowledgeable people here check my proof? I think it's straightforward, I understand it's probably not rigorous enough. It's an inductive proof of the general form of the product rule for derivatives for n factors.

http://i.imgur.com/NArrwes.png

Question

Can any kind knowledgeable people here check my proof? I think it's straightforward, I understand it's probably not rigorous enough. It's an inductive proof of the general form of the product rule for derivatives for n factors.

http://i.imgur.com/NArrwes.png

ybarrap · Answer

Well done. I think you've shown the result perfectly. I would not have thought to use an inductive strategy for the chain rule using multiple variables.

anonymous · Answer

Thanks so much for looking through it! Cheers :)

ybarrap · Answer

You're welcome!