## Unit 6 Learning Outcomes

Upon successful completion of this unit, you will be able to:

- solve problems involving rectilinear motion using derivatives;
- solve problems involving related rates;
- use the first and second derivative tests to solve optimization (maximum/minimum value) problems;
- state and apply Rolle's Theorem and the Mean Value Theorem;
- explain the meaning of linear approximations and differentials with a sketch;
- use linear approximation to solve problems in applications;
- state and apply L'Hopital's Rule for indeterminate forms;
- explain Newton's method using an illustration; and
- execute several steps of Newton's method and use it to approximate solutions to a root-finding problem.

Last modified: Wednesday, June 15, 2016, 11:47 AM