The second exam will cover chapter 4 and 5.1-5.3.  You should review your homework, class notes, and the textbook.  Below is a list of topics with related problems.  Do as many of these as you need to understand these concepts.  The problems on the exam are likely to be more challenging than the quiz problems.

List of topics and some representative problems

• Definition and meaning of derivative (4.1 #13, 18, 28, 60)
  
• Rules for taking derivatives:  power rule, product rule, quotient rule, chain rule. Derivatives of exponential, logarithmic, and trig functions (There are many problems throughout the sections to use as practice.  I suggest beginning with the review section because it mixes these rules: 4.10 #1-12.  Because taking the derivative will be a part of almost every problem on the test, please do as many as problems from the chapter as you need to do to master this.)
  
• Logarithmic differentiation (4.7 #63, 73, 75)
  
• Equations of tangent lines (4.10 #26-29)
  
• Implicit differentiation (4.10 #13-19)
  
• Related rates (4.4 #70, 71; 4.10 #20, 21)
  
• Derivatives of inverse functions (4.7 #13)
  
• Linearization (4.8 #1, 7, 13, 33, 34)
  
• Error propagation (4.8 #38, 46, 47, 48)
  
• Differential equations (4.1 #41; 4.6 #59, 70, 67)
  
• Mean value theorem (5.1 #41, 48,  50)
  
• Identifying local and global extrema, finding where functions are increasing/decreasing and concave up/down, and graph sketching (5.2 #5, 11, 29, 30, 38;  5.3 #12, 13, 42, 44)