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

asked Jan 15, 2021 44.0k views

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

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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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