Implicit Differentiation with Sin

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Pondera
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Homework Statement


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Homework Equations





The Attempt at a Solution


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on Phys.org
It looks like you're not applying the product rule properly when differentiating xy^2. d(xy^2) = y^2 + 2xyy'
 
I wasn't using the product rule at all. Thank you for that! Haha.

I tried it again and got:
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Line by line:
7= cos(xy^2)(y^2+2xyy')
7/ cos(xy^2) = (y^2+2xyy')
7/ cos(xy^2) - y^2 = 2xyy'
(7/ cos(xy^2) - y^2)(2xy) = y'
 
Yeah, it should be divided by our multiplied by (1/2xy). I'm not sure why I did that. :P

The rest of it looks okay though?
 
WOOO! It was right! Thank you very much, jgens and gabba.