Unit 2 The Derivativeap Calculus



Unit 2 - Derivatives

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Determine the derivative of polynomial and simple rational functions from first principles (Unit 1 Method). Define the derivative function, f'(x), and identify functions that are not differentiable. Use a variety of 'rules' to determine the derivative of polynomial and simple rational functions. (The quick method).

UnitUnit 2 the derivativeap calculus 2nd editionUnit
AP Calculus AB‎ > ‎Unit 02‎ > ‎

2.01: Definition of the Derivative

Pre-Work:
Due: 10/05, 6am
Brightstorm log in:
Password: apcalculus

1)Watch & Note Brightstorm’s: 'The Definition of the Derivative'videos: Concept, Problem1, Problem 2, and Problem 3

2)Watch & Note Brightstorm’s:'The Derivative Function'videos: Concept, Problem1, Problem 2, and Problem 3

3) Complete Pre-Quiz: Intro to the Derivative (attached below)

4) Submit work here.


Agenda:

  • Desmos Class link
  • Think About It
  • Discussion + Notes
  • Practice
Additional Resources:
Unit 2 The Derivativeap Calculus

Unit 2 The Derivativeap Calculus Solver

  • Calculus: Home List of Lessons Teacher Resources  UNIT 2 - The Derivative. 2.1 Average Rate of Change. 2.2 Definition of the Derivative.
  • (1/3)(6) 3 – (1/2)(6) 2 + 3(6) – 5 = 67. Finally, using point-slope form, we construct the equation of the tangent line. Y – 67 = 33(x – 6) = 33x – 198,. Analysis of Graphs. There’s quite a lot that Calculus can tell us about the shape of a graph. We’ll focus on what the derivative and second derivative can say.