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Exercise 3.7 Differentiating Implicitly Use implicit differentiation to find dy/dx in Exercises 1-14. 1. xy + xy2 = 6 2. x3 + y= 18xy 3. 2xy + y2 = x + y 4. x3 - xy + y= 1 5. x'(x - y)2 = x2 - y2 6. (3xy + 7)2 = 6y 7. y2 = 1 X+1 x + 3y 9. r = tany 10. xy = cot(xy) 11. x + tan (xy) = 0 12. ** + sin y = x 'y? 2x - y 8. x3 13. y sin (4) - = -xy 14. xcos (2x + 3y) = y sin x 26. If xy + y2 = 1, find the value of d y/dx2 at the point (0, -1). In Exercises 27 and 28, find the slope of the curve at the given points. 27. y2 + x2 = y* - 2x at (-2, 1) and (-2, -1) 28. (x2 + y2)2 = (x - y)2 at at (1, 0) and (1, -1)