Review and Practice for Exam I
Math 408C: Unique Numbers 56975, 56980, and 56985
To be done before Tuesday, October 6
Exam I is scheduled for 2:00°3:15 PM on Tuesday, October 6, in WEL 1.316 (Welch).
Exam topics
You will be fully prepared for Exam I if you know how to:
1. Calculate one and twosided limits using the limit laws.
2. Detect one and twosided in°nite limits.
3. Use the Limit Comparison Theorem and the Squeeze Theorem.
4. Determine where a function is continuous.
5. Use the Intermediate Value Theorem (e.g. to locate roots).
6. Compute the derivative of a function
directly from the de°nition,
by using the limit
laws.
7. Find the equation of the tangent line to a function at a given point.
8. Compute the best linear approximation of a function near a given point.
9. Calculate derivatives of rational, power, and trigonometric functions (using the deriv
ative formulas).
10. Apply the Chain Rule.
11. Perform implicit di/erentiation.
12. Calculate higher derivatives of a function.
13. Calculate related rates of change.
14. Find critical values and local or global maxima and minima of a function.
15. Know and understand the Mean Value Theorem.
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 Fall '06
 McAdam
 Math, Calculus, Derivative, Prime number, Value Theorem, WEL

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