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posted by ck on Saturday, February 11, 2012 at 10:43am.

Find the equation of the tangent to the curve sin(x+y)=xy at the origin.

differentiate implicitly cos(x+y) (1 + dy/dx) = x dy/dx + y at (0,0_ cos(0)(1+dy/dx) = 0+0 1(1+dy/dx) = 0 dy/dx = -1 so slope is -1 , and y-intercept is 0 equation of tangent: y = -x

Thank you!!!

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