Math 31 Worksheet #2 Chain Rule

Find the derivative of each function. Show all work algebraically.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

17. Find the equation of the tangent line to the curve at the point .

18. Find the equation of the tangent line to the curve at the point .

19. Find the points on the graph at which the tangent line is

horizontal.20.

Find the points on the graph at which the tangent line is horizontal.

21. The normal line at a point on the graph of a differentiable function f is

defined as the line through P, which is perpendicular to the tangent line.

Find an equation of the normal line to the graph of at the point

.

22. Find the points on the graph of at which the normal line is parallel to

the line .

Name: ____________________________

Date: _____________________________