Exercises

Exercises for Lecture#4

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1-10. Solve the next problems:

1. Let y be a function of x defined by the equation Find

2. Y is a function defined by the equation Show that and explain the result obtained.

3. Find if .

4. Find if .

5. Find if

6. Find if

7. Find if

8. Find if

9. Find if

10. Find if

11-20. Find the derivatives of implicit functions:

11. 12.

13. 14.

15. 16.

17. 18.

19. 20.