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    In my notes, it says this:


    But I don't understand how it differentiates to that. Shouldn't it be this?


    I know that the notes' result is correct, but I don't understand how it was derived!
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    (Original post by Plagioclase)
    In my notes, it says this:


    But I don't understand how it differentiates to that. Shouldn't it be this?


    I know that the notes' result is correct, but I don't understand how it was derived!
    this is partial
    you treating it as a chain rule of a full differential

    if you diff wrt z partially strictly speaking the derivatives should be the other way but since they commute they wrote it like this
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    (Original post by Plagioclase)
    In my notes, it says this:


    But I don't understand how it differentiates to that. Shouldn't it be this?


    I know that the notes' result is correct, but I don't understand how it was derived!
    The first result makes sense yes (ug is a function of P so think of everything else as a constant). How did you get the second result?
 
 
 
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