We will have our second midterm exam on Thursday (Nov 10).  To prepare for the exam:

• review the following WebWork exercises
  • Derivatives – Product Rule: TBA
  • Derivatives – Quotient Rule: TBA
  • Derivatives – Rates of Change: #1, 3-5, 6(a)-(e), 7-9
  • Derivatives – Trigonometric: 1-7
• review Quiz #2 (solutions have been uploaded to Files)
• review the following concepts:
  • average rate of change/average velocity, as computed using the difference quotient (which also gives the slope of a secant line)
  • instantaneous rate of change, computed using the derivative
  • velocity and acceleration as first and second derivatives of position
  • derivatives of sin and cos (and how to find derivatives of the other trig functions using the quotient rule)
  • applying product and quotient rule, including to products and quotients involving trig functions

• finding the equation of the tangent line to y = f(x) at a point (x_1, f(x_1)) by using the point-slope equation of the line, with y_1 = f(x_1):