Mathematics 133 -- Intensive Calculus for Science 1

Quiz 5

October 12, 2005

The fifth regular quiz of the semester will be given in class on Friday, October 14. It will cover the material from sections 2.3 and 2.4 from this week's problem set. You may use a calculator on this quiz (but I'd be surprised if you found you needed one!). The specific topics to be covered will be:

• The derivative function f'(x) for a function f(x). Know:
  1. How to spot points on a graph where f'(x) = 0, where f'(x) > 0 (intervals where the function f is increasing), and where f'(x) < 0 (intervals where f is decreasing).
  2. How to compute a simple example (say a degree 2 polynomial function) from the limit definition of f'.
  3. How to sketch y = f'(x), given the graph y = f(x) (See section 2.3/23 - 32)
• The derivative as rate of change, the units of dy/dx, interpreting statements about dy/dx (like Section 2.4/1-4,11-14)