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 Chpater 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 |