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Product Rule

  1. May 12, 2008 #1
    1. The problem statement, all variables and given/known data
    Differentiate y = u * e^t + v * t * e^t


    2. Relevant equations
    Product Rule.


    3. The attempt at a solution
    y = u' * e^t + u * e^t + ( v' * t * e^t + v * e^t + v * t * e^t)

    u and v are functions of t.

    I forgot whether the product rule works like this: d/dt [xyz] = x'yz + xy'z + xyz' when x, y, z are all functions of t. Is this correct?
     
  2. jcsd
  3. May 12, 2008 #2
    Yes, that's correct.
     
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