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Finding Derivatives Implicity In Exercise,Find dy/dx implicity. exy + x2 - y2 = 10

Finding Derivatives Implicity In Exercise,Find dy/dx implicity. exy + x2 - y2 = 10
asked 44.0k views
1 vote
Finding Derivatives Implicity In Exercise,Find dy/dx implicity.
exy + x2 - y2 = 10

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User Ruben Serrate
by
8.4k points

1 Answer

6 votes

Answer:


(dy)/(dx)=(ye^(xy)+2x)/(2y-xe^(xy))

Explanation:


(d)/(dx) (e^(xy)+x^2-y^2=10)\\ye^(xy)+xe^(xy)(dy)/(dx) +2x-2y(dy)/(dx)=0\\(dy)/(dx)(2y-xe^(xy))=ye^(xy)+2x\\(dy)/(dx)=(ye^(xy)+2x)/(2y-xe^(xy))

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User Michele Bortolato
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