Bell Ringer Go over Quiz 3
 All tests need to be remediated by Friday!
Find the slope of the tangent line at x = 2. Prove using two different methods. f(x) = (x  2)2 0 1 1 does not exist none of the above
Find the slope of the tangent line at x = 2. Prove using two different methods. f(x) = x  2 0 1 1 does not exist none of the above
Find the derivative at x = 0. Prove using two different methods. f(x) = x1/3 0 1 1 ∞ none of the above
Find the derivative of the following function: f(x) = x3 / 4  3x dy/dx = 3x2 / 4 dy/dx = (3x2 / 4)  3 dy/dx = (3x / 4)  3 dy/dx = 3x2  3 none of the above
At what points does the following function have a horizontal tangent line: y = sin x  x, 0 ≤ x ≤ 2π 0 π 2π all of the above  none of the above
Review
 Secant vs. Tangent Line
 Definition of Derivative
 Importance of Derivative
 What does it allow us to do?
 Drawing a Tangent Line on a Graph
 Basic Differentiation Rules
 Constant Rule
 Power Rule
 Sum and Difference Rule
 Sine and Cosine Derivatives
Lesson
 Derivative Notation
 Differentiation
 Rates of Change
 Position Function
 Average Velocity
 Instantaneous Velocity
 Free Fall Problems
 Practice (Section 2.2)
 Checkpoint #1
 Checkpoint #2
 Checkpoint #3
 Checkpoint #4
 Checkpoint #5
Exit Ticket
 Exit TIcket will be posted on the board in class.
 Lesson Objective(s) How can derivatives be used to find rates of change?
Standard(s)  APC.5
APC.6 APC.7 APC.8 APC.9
Mathematical Practice(s)  #1  Make sense of problems and persevere in solving them
 #2  Reason abstractly and quantitatively
 #3  Construct viable arguments and critique the reasoning of others
 #4  Model with mathematics
