## Ackbar Group Title What is the product rule? 3 years ago 3 years ago

1. Owlfred Group Title

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

2. LeoMessi Group Title

product rule is for finding the derivative of the product of two functions: $(f(x) * g(x))' = f(x) * g'(x) + g(x) * f'(x)$

3. fauxshaux Group Title

yes, and you can expand this concept to products of more than 2 functions...just remember to take the derivative of each product...so one derivative per term...

4. Ackbar Group Title

i'm sort of lost for the application to more than 2 functions... :/

5. fauxshaux Group Title

$(f(x) * g(x) * h(x))' = f(x) * h(x) *g'(x) + g(x) * h(x) * f'(x) + g(x) * f(x) *h'(x)$

6. Ackbar Group Title

oooh, i was having trouble visualizing that one. thanks

7. smbogle Group Title

I think by taking the change variation of the area as 2pi.r, we get what we are looking for by integrating.

8. TigerHound Group Title

$(uv)\prime = u \prime \times v +v \prime \times u$