SOLUTION: Let ln(x-y) = xy find dy/dx at (1,0) Write the equation of the tangent line to the graph at (1,0) please help Thank you

SOLUTION: Let ln(x-y) = xy find dy/dx at (1,0) Write the equation of the tangent line to the graph at (1,0) please help Thank you

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Question 1026204: Let ln(x-y) = xy
find dy/dx at (1,0)
Write the equation of the tangent line to the graph at (1,0)

please help
Thank you
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Take derivative of both sides with respect to x using the chain rule:

(Note that xy is a product of two functions, so you have to use the product rule here)

Use some algebra to solve for dy/dx in terms of x and y. Once you have done so, plug in x = 1, y = 0.
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