How can I apply the product rule to products of more than two functions?

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How can I apply the product rule to products of more than two functions?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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how about like this:
$$A \left( X \right) * B \left( X \right) *C \left( X \right)$$
okay, I'll try it

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$$B(x)*(A \prime(x) * C(x) + C \prime(x) * A(x)) + A(x) * C(x)*B \prime(x)$$
(PQ)' = PQ' + P'Q let Q = RS => Q' = RS' + R'S So (PRS)' = (PQ)' = PQ' + P'Q = P(RS' + R'S) + P'(RS) (PRS)' = PRS' + PR'S + P'RS This may then be extended to all multiples by taking the sum of the derivative of each function, with the terms multiplied by all non-differentiated terms eg: (ABCD)' = ABCD' + ABC'D + AB'CD + A'BCD
:bookmark:
I heard this was the second asked question in Math. x'D

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