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Paul
August 7, 2018

Calculus I - Assignment Problems
 Limits Previous Chapter Next Chapter Applications of Derivatives Chain Rule Previous Section Next Section Related Rates

## Implicit Differentiation

For problems 1  6 do each of the following.

(a)   Find  by solving the equation for y and differentiating directly.

(b)   Find  by implicit differentiation.

(c)    Check that the derivatives in (a) and (b) are the same.

1.

2.

3.

4.

5.

6.

For problems 7  21 find  by implicit differentiation.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

For problems 22 - 24 find the equation of the tangent line at the given point.

22.  at

23.  at

24.  at

For problems 25  27 determine if the function is increasing, decreasing or not changing at the given point.

25.  at

26.  at

27.  at

For problems 28 - 31 assume that ,  and  and differentiate the given equation with respect to t.

28.

29.

30.

31.

 Chain Rule Previous Section Next Section Related Rates Limits Previous Chapter Next Chapter Applications of Derivatives

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