Recitation 10

Test 1 will be Monday, October 1.

Here are the objectives for the test:

  • Be able to differentiate functions involving algebraic and trigonometric functions including implicit differentiation and compositions.
  • Evaluate limits or show that a limit does not exist. A known limit like that of sin(x)/x as x approaches 0 may be used as well as limits whose value can be determined by recognizing that the limit is the derivative of a function at a certain point.
  • Determine a derivative using the definition of derivative.
  • Know the Intermediate Value Theorem and be able to apply it.
  • Determine the equation of the tangent line to the graph of a function.
  • Be able to solve a related rates problem.

Suggested review problems from Stewart:

In doing these problems, be certain that you can do the problems with your
text and notes closed. Try making up a practice test with one problem from
each section and seeing if you can do it in 50 minutes with no references.
Try doing such a sample test with a couple of friends and discuss the
solutions.

  • Section 1.3 nos. 15, 16 Just do the limits – no need for estimation.
  • Section 1.4 nos 11, 12, 18, 21, 27, 28, 34, 35
  • Section 1.5 nos. 37, 38, 40, 45(a), 47
  • Chapter One Review nos. 29, 35, 39, 48 The True-False Quiz can also be thought provoking!
  • Section 2.1 nos. 18, 33 – 36
  • Section 2.2 nos. 21 – 25, 39, 41
  • Section 2.4 nos. 9 – 14, 21 – 24, 26, 46
  • Section 2.5 nos. 29 – 32, 43 – 45, 57
  • Section 2.6 nos. 5 – 10, 19 – 20
  • Section 2.7 nos. 3 – 4, 10, 13, 16, 18, 28
  • Chapter Two Review nos. 13 – 36, 48, 51 – 56 The True-False Quiz is also quite interesting. The ones where the answer is false seem to be designed to trap the student into some of the common mistakes. The answers to the odd ones are in the back of the book, so if you have doubts about the answers to the even ones, you need to consult with someone to make certain that you have it correct!

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