ap calculus - limit definition of derivative

timestamps

• 0:00

  Real-Life Running Scenario

• 0:31

  Analyzing Speed Changes

• 1:11

  Sketching Distance Graph

• 1:41

  Graph Interpretation

• 2:13

  Average Speed Calculation

• 2:44

  Average Rate of Change

• 3:44

  Instantaneous Rate Introduction

• 4:47

  Improving Slope Estimates

• 5:49

  Limit for Instantaneous Rate

• 6:52

  Delta X Approaches Zero

• 7:54

  Derivative Notation Explained

• 8:56

  DY/DX Symbolism

• 9:58

  Secant to Tangent Line

• 11:32

  Limit Definition Formula

• 12:03

  Example at X=2

• 13:37

  Plugging in Values

• 14:44

  Simplifying Expression

• 16:23

  Factoring Numerator

• 17:27

  Slope Result 4/3

• 18:32

  Notation Differences

• 19:35

  F Prime Notation

• 20:38

  Alternative H Definition

• 22:08

  Bringing Points Closer

• 23:43

  General vs Specific Use

• 24:14

  Example 1/(X+3)

• 25:49

  Common Denominator

• 27:56

  Canceling Terms

• 29:32

  Derivative -1/(X+3)^2

• 30:34

  Slope at Any Point

• 31:41

  Derivative Applications

• 32:42

  Square Root Example Setup

• 33:52

  Conjugate Multiplication

• 35:45

  Canceling H

• 36:48

  Simplified Derivative

• 37:49

  Tangent Line at X=2

• 39:20

  Point-Slope Form

• 40:55

  Plugging in A=2

• 42:27

  Tangent Equation

• 43:31

  Sine X Derivative

• 45:20

  Trig Identity Application

• 47:01

  Factoring and Splitting

• 48:32

  Sin H/H Limit

• 49:36

  1-Cos H/H Limit

• 51:10

  Derivative Cos X

• 51:52

  Evaluating at 2Pi/3

• 52:22

  Slope Interpretation