Math 121 - Chapter 4 Study Guide

  1. Sketch the graph of the inverse of the function that is shown. Look at problem 4.1.9.
  2. Find a formula for the inverse of a function. Two parts. Look at problems 4.1.13-29
  3. Find the first derivative. Eight parts. Includes logarithmic, exponential, and inverse trigonometric functions.
  4. Find the derivative using logarithmic differentiation. Look at problems 4.4.35-46
  5. The graph of a function or its derivative is shown. Determine whether the function is one to one. Three parts. Be sure you pay careful attention to whether it is f or f' that is graphed.
  6. Find the limits. Eight parts. Indeterminate forms as well as those that are often mistaken for indeterminate forms. Look at problems 4.7.1-54.
  7. Find dy/dx by implicit differentiation. Two parts. Look at problems 4.3.11-20.
  8. Related rate problem. Look at problems 4.6.9-25. Any formulas from geometry that you need are given on the exam.


# 1 2 3 4 5 6 7 8 Total
Pts 5 10 32 5 6 24 10 8 100