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ExamI-Review

# ExamI-Review - Review and Practice for Exam I Math 408C...

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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 two-sided limits using the limit laws. 2. Detect one- and two-sided 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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ExamI-Review - Review and Practice for Exam I Math 408C...

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