Implicit Differentiation Exercise

Differentiate the following implicit relations and functions.

1. x2 + y2 = 81

2. x2 + y2 = 3x

3. xy + 3x = 4y

4. 3(y2 + 3)2 = 4x

5. 3y2 + 3y = x3

6. xy2 + 3x5 = 4y

7. 2xy + (2x+1)3= x + 5