anonymous
  • anonymous
I'm having trouble working this problem out. Help pls? Find dy/dx by implicit differentiation. (x − y)/(4x + 10y) = 8x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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inkyvoyd
  • inkyvoyd
1/4-y/4x+10y=8x
inkyvoyd
  • inkyvoyd
Can you get it from there?
anonymous
  • anonymous
I'm new at this by the way. lol. so, are you dividing the function by 1/4-y or how did you get that part?

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anonymous
  • anonymous
I understand derivatives, but the differentiation is throwing me off..
inkyvoyd
  • inkyvoyd
I just split that fraction up,
inkyvoyd
  • inkyvoyd
(x − y)/4x + 10y = 8x, assuming that the 4x is in parenthesis\[(x-y)/(4x)+10y=8x, x/(4x) -y/(4x)+10y=8x\]
inkyvoyd
  • inkyvoyd
Now, multiply both sides by 4x, and tell me if you hav trouble
anonymous
  • anonymous
so multiplying by 4x on each side would eliminate the 4x on the denominator for only x, and not y?
anonymous
  • anonymous
from my notes, I'm instructed to use the quotient rule, however if this method is easier and effective I'll use your way.
anonymous
  • anonymous
maybe I didn't correctly display the function. Does this make it a different problem? |dw:1333125966534:dw|
inkyvoyd
  • inkyvoyd
Yes, it does. Actually I know what you are supposed to do; let me show you.,
anonymous
  • anonymous
|dw:1333129524507:dw|
anonymous
  • anonymous
|dw:1333129620742:dw|
inkyvoyd
  • inkyvoyd
Or, a Asian duck can do it too.
anonymous
  • anonymous
omg, thanks to the both of you! this helps a lot. I can't believe I didn't think to mult by the denominator to get rid of the fraction. This is so helpful! you guys rock! :D

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