Generalization of the product rule to the nth derivative

[madah12]

Homework Statement

do what the title says

Homework Equations

The Attempt at a Solution

ok so I think it's
h(x)=f(x)g(x)
sum from k=0 to n of (n choose k) f^(n-k)(x) g^(k)(x)
right?

 

[HallsofIvy]

Yes, that is correct.

 

[arkajad]

Does it work for n=2? Not too hard to check ...