liizzyliizz
  • liizzyliizz
Consider the curve given by x^2+3y^2= 1 +3xy show that dy/dx = 3y-2x / 6y-3x ok so while i was doing this by hand I ended up with 3y-2x / 6y. I dont know what happened but that 3x on the bottom threw me off. O.o help?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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liizzyliizz
  • liizzyliizz
HELP :(
AccessDenied
  • AccessDenied
do you have your work to get there?
anonymous
  • anonymous
@liizzyliizz Show us your work, so we know where you misunderstood!

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liizzyliizz
  • liizzyliizz
okey dokes I shall do that now.
liizzyliizz
  • liizzyliizz
|dw:1332986182859:dw| ok so i was looking at my work, and i have both of these things written down. I know somewhere I went wrong, and started doing something that doesn't make much sense, but I haven't been able to figure out what I am forgetting to do.
AccessDenied
  • AccessDenied
It does seem like your reaction to the "3xy"'s derivative was justified... 3xy is a product of two, what we could call 'functions.' We do have to use product rule on it.
anonymous
  • anonymous
Knowing where's you're wrong is the first step to be correct :)
anonymous
  • anonymous
dy/dx ( 3 x y ) = 3 y + 3 x dy/dx
AccessDenied
  • AccessDenied
yep. should work out using that 3y + 3x dy/dx. I think your process was correct, that was the only issue -- the derivative of 3xy. :)
anonymous
  • anonymous
2x + 6y dy/dx = 3y + 3 x dy/dx ( 6y - 3x ) dy/dx = 3y - 2x => dy/dx = (3y -2x) / ( 6y - 3x)
liizzyliizz
  • liizzyliizz
Ahhh ok that makes sense, grrr lol I was close :/
liizzyliizz
  • liizzyliizz
but thank you this clarified a lot ! :p
AccessDenied
  • AccessDenied
No problem! Glad [we] could help! :) the equations with both x and y multiplied together do get tricky for implicit differentiation, in my opinion. :P
liizzyliizz
  • liizzyliizz
Yeah and since i haven't done them in a while those small details get forgotten. :o

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