unit 2 - Chapters 2 & 3 - Derivatives
The New Changes to AP Calculus - effective 2016 - 2017
Enduring Understandings
Students will understand that ... EU 2.1: The derivative of a function is defined as the limit of a difference quotient and can be determined using a variety of strategies. |
Learning Objective:
Students will be able to ... LO 2.1 A: Identify the derivative of a function as the limit of a difference quotient. LO 2.1 B: Estimate derivatives. LO 2.1 C: Calculate derivatives. LO 2.1 D: Determine higher order derivatives. |
EU 2.2: A function's derivative, which is itself a function, can be used to understand the behavior of the function. EU 2.3:The derivative has multiple interpretations and applications including those that involve instantaneous rates of change. EU 2.4:The Mean Value Theorem connects the behavior of a differentiable function over an interval to the behavior of the derivative of that function at a particular point in the interval. |
LO 2.2 A: Use derivatives to analyze properties of a function. LO 2.2 B: Recognize the connection between differentiability and continuity. LO 2.3 A: Interpret the meaning of a derivative within a problem.
LO 2.3 B: Solve problems involving the slope of a tangent line. LO 2.3 C: Solve problems involving related rates, optimization, rectilinear motion, (BC - planar motion.) LO 2.3 D: Solve problems involving rates of change in applied contexts. LO 2.3 E: Verify solutions to differential equations. LO 2.3 F: Estimate solutions to differential equations. LO 2.4 A: Apply the Mean Value Theorem to describe the behavior of a function over an interval. |