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