anonymous
  • anonymous
Let xy=1 and let dy/dt=5 Find dx/dt when x=5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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raspberryjam
  • raspberryjam
Okay so the first step is to take the derivative of xy=1. Don't forget the product chain rule! \[ xy=1\] \[ x\frac{dy}{dt}+y\frac{dx}{dt}=0\] Then just plug everything in! \[ (5)(5)+5\frac{dx}{dt}=0\] and solve for \[\frac{dx}{dt}\]
anonymous
  • anonymous
then the answer would be -5. If i multiply the two five's together , i get 25. move it to the other side and divide by 5 i get -5. When i submit that answer on my end, it comes out wrong.
anonymous
  • anonymous
The method was correct.

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raspberryjam
  • raspberryjam
Hmm...it should be right. Double check the numbers in the question?
anonymous
  • anonymous
YEAH its still saying its wrong.
raspberryjam
  • raspberryjam
Ahh wait my mistake. I accidentally put in 5 for y. So solve for y first. and put that in instead of the 5*dx/dt.
anonymous
  • anonymous
\[y=\frac{1}{5}|x=5\]We're given the value for \(y\). As I said, the method is correct.

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