anonymous
  • anonymous
Find dy/dx by implicit differentiation y^5+x^2y^3=1+x^4y I got: (-4x^3y+2xy^3)/(x^4-3x^2y^2-5y^4) Can someone show me the steps to verify the correct answer? :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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bahrom7893
  • bahrom7893
5y^4 y' + 3x^2y^2 y' + 2xy^3 = 4x^3y + x^4 y'
anonymous
  • anonymous
? Can you show the full steps.
bahrom7893
  • bahrom7893
well i am, just differentiate with respect to x.

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zepdrix
  • zepdrix
|dw:1349985400305:dw| Hmm ok there's the first step, look ok so far? c:
anonymous
  • anonymous
yeah that makes sense.
zepdrix
  • zepdrix
|dw:1349985816493:dw| Ok good your answer looks the same. Your signs are different since you moved the (y')'s to the RIGHT instead of the left. So your tops are all a factor of -1 off from mine. and your bottoms are all a factor of -1 off from mine. -1/-1 = 1, so we have the same answer :) good job!
anonymous
  • anonymous
awesome thanks! Does it matter which side I move the y' too?
bahrom7893
  • bahrom7893
nope it doesnt
anonymous
  • anonymous
oh okay thanks.

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