Name: UNIT 3 - Ed Kornberg

Name: _________________________________________

UNIT 3:

DIFFERENTIATION

Composite, Implicit, & Inverse Functions

Part 2 HOMEWORK

3.1

The Chain Rule Homework

Problems 1 ? 11, find the derivative of the function.

1. = 3 - 2 4

2. = 5 2 - 2 3

3. = 6 + 3 2/3

4. = + 3

5. = 3 2 - 9

6.

=

-2 2-3-4 2

7. =

32 3-

8. = 3 22 - 5 + 3

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1

9.

=

1 2

2

4 - 2

10. =

2+1

11. =

-3 2 2+2

Problems 12 - 17, find the derivative of each trigonometric function using the Chain Rule.

12. = sin 2

13. = tan(ln )

XoXoXoXoXoXoXoXoXooXoXoXoXoXoXoXoXoXoXoXoXoX

2

14. = csc 2 16. = 4 sin2

15. = cos

17. = sin(cos 32)

Problems 18 ? 21, find the equation of the tangent line at the given point.

18. = 2 + 3 + 6 at 2, 4

19. = 2 + - 2 2 at (-1, 4)

20. = sin(2) at

, 3

32

21. = 9 - 2 1/3 at (1, 2)

XoXoXoXoXoXoXoXoXoXoXoXooXoXoXoXoXoXoXoXoXoX

3

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