Proving Liebniz's Rule by Induction: Stuck at p(n+1)

[barksdalemc]

I have to prove Liebniz's Rule by induction. So the p(1) is just the product rule. I am assuming the p(n) is true. Now when I expand the series for p(n+1) I am stuck. I think I need to collect the terms in the n+1 expansion and show that they are just one term expansion more than the n expansion but I am not getting how.

 

[matt grime]

If you differentiate something n+1 times, then you've differentiated it n times, then once more, haven't you?

 

[barksdalemc]

Wow. I can't believe that's it. Thanks.