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12-37.

Find the equation of the line tangent to the curve x2 y − xy2 = 6 at the point in the first quadrant where y = 1. Homework Help ✎

When y = 1, x2x = 6.
Therefore x = ?

Substitute the values of the coordinates of the point into the equation in Step 2. Then solve for y′.

Use the point from Step 1 and the slope (y′) from Step 3 to write the equation of the tangent line.