- #1
Ed Aboud
- 201
- 0
Homework Statement
Prove by induction on k that for all integers
[tex] \frac{d}{dx} \prod_{i=1}^k f_i (x) = (\sum_{i=1}^k \frac{ \frac{d}{dx} f_i (x)}{f_i (x)} ) \prod_{i=1}^k f_i (x) [/tex]
Homework Equations
Product rule
[tex] \frac{d}{dx} (uv) = u \frac{dv}{dx} + v \frac{du}{dx} [/tex]
The Attempt at a Solution
I am honestly not sure how to start this. It is the first one like this that I have tried.