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MIT 18.01 Single Variable Calculus (OCW) 13 Online
OpenStudy (anonymous):

What is the product rule?

OpenStudy (owlfred):

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OpenStudy (anonymous):

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

OpenStudy (anonymous):

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...

OpenStudy (anonymous):

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

OpenStudy (anonymous):

\[(f(x) * g(x) * h(x))' = f(x) * h(x) *g'(x) + g(x) * h(x) * f'(x) + g(x) * f(x) *h'(x)\]

OpenStudy (anonymous):

oooh, i was having trouble visualizing that one. thanks

OpenStudy (anonymous):

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

OpenStudy (anonymous):

\[(uv)\prime = u \prime \times v +v \prime \times u \]

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