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Curves

Learning tasks
                        
Lesson Summary
Text book
Exercises Correction
A) Tangents and Normals
    I) Equation of the Tangent
      1) Finding the Equation of the TangentEx 1 Ex 2 Ex 3 Ex 4
    II) Equation of the Normal
      2) Finding the Equation of the NormalEx 5 Ex 6 Ex 7 Ex 8
B) Increasing and Decreasing Functions
    I) Definition
      3) Determining Variations GraphicallyEx 9 Ex 10 Ex 11 Ex 12
    II) First Derivative Test
      4) Determining Variations from the Derivative GraphEx 13 Ex 14 Ex 15
      5) Studying the Variations of Standard FunctionsEx 16 Ex 17
      6) Studying Function VariationsEx 18 Ex 19 Ex 20
      7) Studying Function Variations: Level 2Ex 21 Ex 22 Ex 23
C) Extrema of Functions
    I) Definitions
      8) Identifying Extrema from a GraphEx 24 Ex 25 Ex 26
    II) First Derivative Test for Local Extrema
      9) Finding and Classifying Extrema: Level 1Ex 27 Ex 28 Ex 29
      10) Finding and Classifying Extrema: Level 2Ex 30 Ex 31 Ex 32
D) Concavity
    I) Definition
      11) Determining Concavity GraphicallyEx 33 Ex 34 Ex 35 Ex 36
    II) Second Derivative Test for Concavity
      12) Determining Concavity: Level 1Ex 37 Ex 38 Ex 39
      13) Determining Concavity: Level 2Ex 40 Ex 41
E) Points of Inflection
    I) Definition
      14) Identifying Points of Inflection from a GraphEx 42 Ex 43
    II) Second Derivative Test for Points of Inflection
      15) Determining Points of Inflection: Level 1Ex 44 Ex 45 Ex 46
      16) Determining Points of Inflection: Level 2Ex 47 Ex 48