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Partial Differentials of two functions with 2 variables each

  1. Apr 28, 2013 #1
    From the two equations given below, find ∂s/∂V (holding h constant) and ∂h/∂V (holding r constant



    V = π*r^2*h, S = 2π*r*h + 2*π*r^2



    Not entirely sure where to start...
     
  2. jcsd
  3. Apr 28, 2013 #2

    tiny-tim

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    Welcome to PF!

    Hi CorvusCorax! Welcome to PF! :smile:
    What is S as a function of V and h ? :wink:
     
  4. Apr 28, 2013 #3
    Thanks. Been a lurker for years on several sites, decided it is probably time to join up for my own questions.

    I'd say the first part of S, 2*pi*r*h, is just V'. I guess I could say 2*pi*r^2 is equivalent to 2*(V/h). So at that point just take the partial w/respect to V?
     
  5. Apr 28, 2013 #4

    tiny-tim

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    Yes. :smile:
    No, that's not an expression in V and h. :redface:

    (and now I'm off to bed :zzz:)
     
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