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Differentiating with respect to t implicitly

  1. Apr 26, 2009 #1
    a particle moves along the curve xy=10, x=2 and dy/dt=3, what is the value of dx/dt?


    i tried product rule and got x*y*dy/dt + y*x*dx/dt = 0 and the answer that i get doesnt appear on the multiple choice answers
    a)-5/2 b)-6/5 c) 0 d) 4/5 e) 6/5

    i dont know what im doing wrong a little help would be nice ty.
     
  2. jcsd
  3. Apr 26, 2009 #2

    Cyosis

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    Homework Helper

    You did your differentiation wrong. Applying the product rule correctly yields d(xy)/dt=x dy/dt+y dx/dt.
     
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