Unit 5: Applications of Derivatives 1
Learning Outcome: Use derivatives to solve related rates and rectilinear motion problems.
Performance Criteria:
- Solve applied related rates problems.
- Read
- Textbook Section 3.11: Examples 1-4
- Watch
- Do
- Textbook Section 3.11: 1, 3, 5, 7, 9, 13, 21, 23, 25
- Analyze rectilinear motion.
- Read
- Rectilinear motion handout.
- Watch
- Do
- Determine the absolute maximum and minimum values of a function, and their locations, on a closed interval.
- Read
- Textbook Section 4.2: Examples 3 and 5.
- Watch
- Do
- Section 4.2: 29, 31, 33, 35
- Given the graph of a function, sketch or identify the graph of the derivative function.
- Read
- Textbook Section 3.2: Example 6
- Watch
- Do
- Textbook 3.2: 43, 45, 66, 67 3.5: 39, 40
- Textbook Ch. 3 Review Exercises: 18, 19
- Give the intervals on which a function is increasing or decreasing. Give local maxima and minima and their locations (using the first derivative test).
- Read
- Watch
- Do
- Textbook 4.3: 11, 13, 15, 17, 19, 21, 25, 27, 29, 37, 39
- Textbook 4.4: 39, 41 4.6: 1, 3, 5
- Give the intervals on which a function is concave up or concave down, apply the second derivative test to identify the locations of local maxima and minima.
- Read
- Watch
- Do
- Textbook 4.4: 3, 11, 25, 27, 39, 41, 55
- Sketch the graph of a function, given information about its first and second derivatives. From the graph of a function, determine where the first and second derivatives are zero, positive, and negative.
- Read
- Watch
- Do
- Textbook 4.4: 1, 23 4.6: 1, 3, 5
- Find a point in an interval [a,b] that satisfies the mean value theorem.
Return
to Math 251 page