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Differentiating with respect to t implicitly

  • Thread starter marcuss
  • Start date
  • #1
12
0
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.
 

Answers and Replies

  • #2
Cyosis
Homework Helper
1,495
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You did your differentiation wrong. Applying the product rule correctly yields d(xy)/dt=x dy/dt+y dx/dt.
 

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