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Differentiating mult-variable equation

  1. Dec 16, 2003 #1
    Any ideas for solving this, im having trouble using implicit differentiation along with using log differentiation, thanx!:

    x^3 + x tan^-1 y = e^y
     
  2. jcsd
  3. Dec 16, 2003 #2
    Differentiate w.r.t x

    [tex]\frac{df(y)}{dx}=\frac{df(y)}{dy}\frac{dy}{dx}[/tex]
     
  4. Dec 17, 2003 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    In other words, the derivative of y with respect to x is:


    3x2+ tan-1y+ xy'/(1+ y2)= eyy'. Now solve for y'.

    I see no reason to use "logarithmic differentiation".
     
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