Given x^2 + y^2 = e^xy Tangent lines.

find y' at point (1,0), then find the equations of line tangent to y at (1, 0)

please help =( i need to figure this out in 6 hours ><

thx

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- Dec 6th 2009, 06:49 PMfympImplicit differentiation
Given x^2 + y^2 = e^xy Tangent lines.

find y' at point (1,0), then find the equations of line tangent to y at (1, 0)

please help =( i need to figure this out in 6 hours ><

thx - Dec 6th 2009, 07:17 PMadkinsjr
You should show that you've attempted the problem. We aren't suppose to just give you answers. Do you know how to differentiate the function?

Use implicit differentiation and the chain rule.

$\displaystyle 2x+2yy'=e^{xy}(y+xy')$

Just solve for $\displaystyle y'$ and evaluate the derivative at the point you were given by substituting the values of x and y. From this point, you should be able to find the tangent line.