Proof of the formula for the nth derivative of a product

Hurkyl

The correct formula is

[tex]

\frac{d^n}{dx^n} (u v)

= \sum_{i=0}^n \binom{n}{i} \frac{d^i u}{dx^i} \frac{d^{n-i} v}{dx^{n-i}}

[/tex]

Is this what you meant?

Hurkyl Recognitions: Gold Member Science Advisor Staff Emeritus	The correct formula is [tex] \frac{d^n}{dx^n} (u v) = \sum_{i=0}^n \binom{n}{i} \frac{d^i u}{dx^i} \frac{d^{n-i} v}{dx^{n-i}} [/tex] Is this what you meant?