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Finding the Gradient using Quotient Rule

  1. Oct 13, 2008 #1
    Find the gradient of F(s,t) = f(x(s,t), y(s,t)) where f(x,y) = y/x x = s^2 + t^2 y = s^2 - t^2.

    I'm not sure how to even start the problem. Could someone point me in the right direction?
     
  2. jcsd
  3. Oct 13, 2008 #2

    HallsofIvy

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    Do you know the chain rule for partial derivatives?
     
  4. Oct 13, 2008 #3
    Does it have something to do with this:

    [tex]\frac{\partial F}{\partial s} = \frac{\partial F}{\partial x}\frac{\partial x}{\partial s} + \frac{\partial F}{\partial y} \frac{\partial y}{\partial s}[/tex]
     
  5. Oct 14, 2008 #4

    HallsofIvy

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    Yes, now DO it!
     
  6. Oct 14, 2008 #5
    Already did, and got the correct answer, thank you.
     
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