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fauxshaux

  • 5 years ago

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

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  1. loki
    • 5 years ago
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    how about like this:

  2. loki
    • 5 years ago
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    $$A \left( X \right) * B \left( X \right) *C \left( X \right)$$

  3. fauxshaux
    • 5 years ago
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    okay, I'll try it

  4. fauxshaux
    • 5 years ago
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    $$B(x)*(A \prime(x) * C(x) + C \prime(x) * A(x)) + A(x) * C(x)*B \prime(x)$$

  5. adfriedm
    • 5 years ago
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    (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

  6. Ishaan94
    • 3 years ago
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    :bookmark:

  7. TheSmartOne
    • one year ago
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    I heard this was the second asked question in Math. x'D

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