What is the product rule?

Question

owlfred · Answer

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anonymous · Answer

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

anonymous · Answer

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...

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

oooh, i was having trouble visualizing that one. thanks

anonymous · Answer

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

anonymous · Answer

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