The final exam for the course will be on **Tuesday (Dec 20)**, during our usual class time.

Listed below is a list of topics and exercises to review in preparation for the exam. I have uploaded solutions to the midterm exams to OpenLab Files. I recommend downloading the pdfs and studying the solutions as you review these topics:

**The limit definition of the derivative:**Exam 1 (exercise #1), Exam 3 (#1)**Finding the derivative of a given function using the differentiation rules:**Exam 1 (#4), Exam 2 (#4), Exam 3 (#2), Quiz #2, Quiz #3**Finding the equation of the tangent line**for a given function at a given point (using the derivative and the point-slope equation of the line): Exam 1 (#3), Exam 2 (#3), Quiz #2**Finding a linear approximation:**Exam 3 (#3)- Using
**the derivative as instantaneous rate of change:**Exam 2 (#1 and #2) - Using the derivative to find
**extrema and the shape of the graph**(finding critical points and where the graph is increasing/decreasing): Exam 3 (#4) **Applied optimization:**WebWork “Application – Optimization” #1-3

## Recent Comments