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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