Lesson #64
Test on Chapter 4




Objectives:

The student will review all the concepts of logarithms and exponential functions.

The student will review the derivatives of logs and exponential functions.

The student will review the derivatives of inverse trigonometric functions.

The student will review L'Hôpital's Rule.



1. Distribute the test on Chapter 4.

2. Outline of test:

1-9 Multiple Choice

Find inverse function of y=tan(x), y=ln(x), y=e^x, y = x/(x+1), etc.

Evaluate logs, ArcSin(x), etc.

Limits (with L'Hopital's Rule)

Take derivatives of ln(u), e^u, ArcCos(x) with Quotient, Product

Related Rates

Take derivative of a variable to a variable

Solve Logarithmic Equations

Domain / Range of inverse trig



10-20 Free Response

Chain Rule with inverse Trig and e^x and ln(x)

Exact Value of Inverse Trig (like Mini Exam#1)

Implicit Differentiation

Prove derivative formula for inverse trig

Graph inverse trig functions

Related rates

Limits (with L'Hopital's Rule)

Derivatives of exponentials and logs

Compound Interest Problems



Click here for a copy of Test on Chapter 4 (version A)

Click here for a copy of Test on Chapter 4 (version B)



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Send any comments or questions to: David Pleacher