Saturday, October 3, 2009

Sec 2.2 Basic Differentiation Rules and Rates of Change

Essential Questions:
*How do you utilize the various differentiation rules to determine the derivative of a function?
Constant rule, Power rule, Constant multiple rule, Sum and difference rule, Trigonometric derivatives (Sine and Cosine)
*How do instantaneous and average rates of change compare?
*What do we mean by instantaneous rate of change?
*Can you use rates of change to determine the velocity, speed, acceleration, and jerk of an object?

Objectives:
(1) Use the Constant Rule, Power Rule,Constant Multiple Rule, and Sum and Difference Rules as short cuts to differentiate functions.
(2) Find higher order derivatives and apply them to problem such as speed, velocity, and acceleration.