Unit Seven

# Derivatives of Transcendental Functions

Unit Objective:
Learn to find the derivatives of trigonometric, logarithmic, and exponential functions. 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 find the derivative of expressions involving sines and cosines.

• Complete Work Exercises 27.1, pages 782-783 #1-23 odd, 29,31, 35-49 odd.
• Quick Review sheet 7-1.

Objective Two
Be able to find the derivative of the other four trigonometric functions.

• Complete Work Exercises 27.2, pages 786-787 #1-35 odd, 39,41,45,47.
• Quick Review sheet 7-2.

Objective Three
Be able to use the formulas for the derivatives of Arcsine, Arccosine, and Arctangent.

• Read 27.3, pages 787-789, Examples 1 and 3 only.
• Complete Work Exercises 27.3, page 790 #1,6,12,15.
• Quick Review sheet 7-3.

Objective Four
Be able to find the derivative of logarithmic functions.

• Complete Work Exercises 27.5, page 799 #1-21 odd, 27,31,41,42,45,47.
• Quick Review sheet 7-4.

Objective Five
Be able to find the derivative of exponential functions.

• Complete Work Exercises 27.6, pages 802-803 #1-29 odd, 35,37,45,47.
• Quick Review sheet 7-5.

Objective Six
Be able to apply the above derivative rules.

• Read 27.7, page 805 Examples 4 and 5.
• Complete Work Exercises 27.7, page 806 #13,15,19,29,32.
• Quick Review sheet 7-6.

Unit Review

• Review Exercises, pages 807-810 #1-13 odd, 16,21-31 odd, 37,45,47,49,55,67.
• Practice Test, page 810 #1-6 all.

Worksheets