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Homework Help: Product rule for derivatives of operators

  1. Oct 9, 2007 #1
    I ve been trying to derive this for some time now.
    The rule is similar to the one for simple math derivatives.
    d/dx(A^B^)=dA^/dx B^ + A^ dB^/dx
    Is the derivation on similar lines. Any directions??
  2. jcsd
  3. Oct 9, 2007 #2


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    Science Advisor

    Just use the fundamental definition of the derivative in terms of a limit as Delta x goes to zero.
  4. Oct 11, 2007 #3
    ya. it takes time to get used to operator algebra!!
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