Unit Three

# Applications of the Derivative

Unit Objective:
Learn to use the derivatives of a function to find tangent and normal lines, to find velocity and acceleration, and to solve related rates problems. This unit should take no more than 2 weeks to complete.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation:
The unit test will be a pencil and paper quiz taken at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.

Objective One
Be able to write the equations of a tangent line and a normal line to a given curve at a given point.

• Complete Work Exercises 24.1, pages 677-678 #1-15 odd, 21,23.
• Quick Review sheet 3-1.

Objective Two
Learn how position, velocity, and acceleration are related. Be able to use parametric equation of motion to find velocity and acceleration vector.

Objective Three
Be able to solve related rate problems.

• Complete Work Exercises 24.4, pages 688-689 #1,3,4,9,11,15,17-21.
• Quick Review sheet 3-3.

Unit Review

• Review Exercises, pages 711-714 #1-11 odd, 38,41,43,51.
• Practice Test, page 714 #1,3,9.

Worksheets