anonymous
  • anonymous
How could I go about solving this problem: If x^2+y^2=25 and dy/dt=6, find dx/dt when y=4 and x=3.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Astrophysics
  • Astrophysics
\[2x \frac{ dx }{ dt } + 2y \frac{ dy }{ dt } = 0\] differentiate both sides wrt to t. Now find dx/dt and plug in the values.
anonymous
  • anonymous
Ohhh okay! Thanks so much! :)
Astrophysics
  • Astrophysics
It's implicit differentiation :)

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Astrophysics
  • Astrophysics
No problem!
anonymous
  • anonymous
Right! I always get confused about the "with respect to..." part xD but I got what you did here! :D
Astrophysics
  • Astrophysics
You may have got confused because you may not be used to differentiating with respect to t, which just means x and y are functions of t :)
anonymous
  • anonymous
Ahhh that's true! That makes total sense haha XD
anonymous
  • anonymous
Many thanks! :D
Astrophysics
  • Astrophysics
Np :)

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