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monroe17

  • 3 years ago

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? :)

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  1. bahrom7893
    • 3 years ago
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    5y^4 y' + 3x^2y^2 y' + 2xy^3 = 4x^3y + x^4 y'

  2. monroe17
    • 3 years ago
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    ? Can you show the full steps.

  3. bahrom7893
    • 3 years ago
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    well i am, just differentiate with respect to x.

  4. zepdrix
    • 3 years ago
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    |dw:1349985400305:dw| Hmm ok there's the first step, look ok so far? c:

  5. monroe17
    • 3 years ago
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    yeah that makes sense.

  6. zepdrix
    • 3 years ago
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    |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!

  7. monroe17
    • 3 years ago
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    awesome thanks! Does it matter which side I move the y' too?

  8. bahrom7893
    • 3 years ago
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    nope it doesnt

  9. monroe17
    • 3 years ago
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    oh okay thanks.

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