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Partial derivative question

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the first partial derivatives of the function.

    f(x,y) = definite integral (limits of integration x to y) cos(t^2) dt


    3. The attempt at a solution

    Is the partial derivative with respect to x just cos(x^2), and for y, cos(y^2) ? Or should the partial derivative with respect to y be negative?
     
  2. jcsd
  3. Sep 30, 2009 #2

    Dick

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    Science Advisor
    Homework Helper

    Sure. -cos(y)^2 for the y derivative. That's what the Leibniz rule says, right?
     
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