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Total Derivative

  1. Sep 10, 2008 #1
    Hi I was hoping someone could explain how this works to me

    I ran across this example in a book

    D(p(a)) = S(p(a),a)
    Total derivative with respect a

    [tex] \frac{dD(p(a))}{dp} \frac{dp}{da}= \frac{\partial S(p(a),a)}{\partial p} \frac{dp}{da} + \frac{\partial S(p(a),a)}{\partial a} [/tex]
  2. jcsd
  3. Sep 10, 2008 #2


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    Staff Emeritus
    Science Advisor

    It's just the chain rule.
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