Ok, I been at it for a while, and I can't for the life of me prove this using induction.
I am told the following
u^0=u u^1=u' u^n+1= (u^n)'
This and the laws for first derivative of a sum, and product, as well as dealing with multiplication by constants is all I know about differentiation.
If P(n) is the statement regarding the nth derivative of a product
formula, I cannot show that P(n) implies P(n+1).
What I tried doing is differentiating the righthand side of the formula, and used the theorem that I stated two posts earlier to rewrite the left handside of the equation without success. I'm sorry if I am being confusing again, but can someone lead me in any direction at all?