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Homework Help: Inverse trig derivative

  1. Apr 4, 2006 #1
    DOES ANYONE SEE WHY MY LATEX FORMULAE ARE NOT BEING GENERATED?

    I was wondering how one can differentiate the following:

    [tex] arctan (x/y) [/tex]

    wrt y

    is it just inner times outer derivative, i.e.

    [tex] (-x) /((1 + x^2/y^2)*y^2) [/tex]

    in the definitions I found they just gave examples like

    [tex] tan^(-1) y [/tex]

    thanks very much
     
    Last edited: Apr 4, 2006
  2. jcsd
  3. Apr 4, 2006 #2

    TD

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    Homework Helper

    LaTeX is currently down but I was able to follow your problem through the code.

    If x and y are independant variables then you differentiate wrt to y, just by using the chain rule.
    Your answer is correct and can be simplified to -x/(x²+y²).
     
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