anonymous
  • anonymous
What is the product rule?
MIT 18.01 Single Variable Calculus (OCW)
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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Owlfred
  • Owlfred
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anonymous
  • anonymous
product rule is for finding the derivative of the product of two functions: \[(f(x) * g(x))' = f(x) * g'(x) + g(x) * f'(x)\]
anonymous
  • 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...

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anonymous
  • anonymous
i'm sort of lost for the application to more than 2 functions... :/
anonymous
  • anonymous
\[(f(x) * g(x) * h(x))' = f(x) * h(x) *g'(x) + g(x) * h(x) * f'(x) + g(x) * f(x) *h'(x)\]
anonymous
  • anonymous
oooh, i was having trouble visualizing that one. thanks
anonymous
  • anonymous
I think by taking the change variation of the area as 2pi.r, we get what we are looking for by integrating.
anonymous
  • anonymous
\[(uv)\prime = u \prime \times v +v \prime \times u \]

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