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Product rule

  1. Mar 12, 2012 #1
    From my book:

    Let

    h = x + ay and g = x + by

    By product rule we then have:

    ∂/∂x = ∂/∂h + ∂/∂g

    Can someone explain to me how to arrive at this result? I don't even get what ∂/∂x even means, isn't it just a differential operator?
     
  2. jcsd
  3. Mar 12, 2012 #2

    SammyS

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    Yes, ∂/∂x is an operator.

    Do you know the definition of [itex]\displaystyle \frac{\partial F(x,\,y)}{\partial x}[/itex], and/or how to evaluate this partial derivative given the function, F(x, y) ?
     
  4. Mar 12, 2012 #3
    yes yes I know all that, I just can't specifically see how they arrive at the result using the product rule :)
     
  5. Mar 12, 2012 #4

    SammyS

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    Off hand, I don't see the result as coming from the product rule either.
     
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