ap calculus - connecting f, f', and f'' graphs

timestamps

• 0:00

  Introduction to Functions and Derivatives

• 0:31

  Derivative as Slope

• 1:03

  First Derivative Insights

• 2:05

  Increasing and Decreasing Functions

• 2:37

  Derivative Equals Zero Cases

• 3:40

  Identifying Maximums

• 4:42

  Identifying Minimums

• 5:44

  Derivative Undefined Scenarios

• 6:45

  Second Derivative Relation

• 7:51

  Concave Up Explanation

• 9:26

  Concave Up Examples

• 11:01

  Concave Down Explanation

• 12:35

  Point of Inflection

• 13:37

  Graph Analysis Practice

• 15:34

  First Derivative Zeros

• 17:40

  Justification for Intervals

• 18:45

  Sketching First Derivative

• 20:24

  Second Derivative Sketch

• 22:00

  Second Derivative Intervals

• 24:10

  Analyzing Given Derivative Graph

• 25:43

  Function Intervals from Derivative

• 27:45

  Extrema Identification

• 29:48

  Rough Function Sketch

• 31:27

  Second Derivative Signs

• 34:38

  Inflection Points

• 36:10

  Cubic Function Example

• 38:15

  Finding First Derivative

• 39:53

  Sign Testing Intervals

• 42:34

  Calculating Y-Values

• 44:43

  Second Derivative Analysis

• 46:51

  Concavity Determination

• 48:25

  Graph Summary

• 48:55

  Calculator Active Question

• 50:31

  Inputting Function in Calculator