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DP IB Maths: AA HL

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5.1 Differentiation

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Question 1a

Marks: 2

    Assess your score
      
    Key Concepts
    Differentiating Powers of x
    Introduction to Derivatives

    Question 1b

    Marks: 4

      Assess your score
        
      Key Concepts
      Tangents & Normals
      Introduction to Derivatives

      Question 2a

      Marks: 1

        Assess your score
          
        Key Concepts
        Differentiating Powers of x
        Introduction to Derivatives

        Question 2b

        Marks: 2

          Assess your score
            
          Key Concepts
          Tangents & Normals
          Introduction to Derivatives

          Question 2c

          Marks: 3

            Assess your score
              
            Key Concepts
            Tangents & Normals

            Question 3a

            Marks: 3

              Assess your score
                
              Key Concepts
              Tangents & Normals
              Differentiating Powers of x

              Question 3b

              Marks: 3

                Assess your score
                  
                Key Concepts
                Tangents & Normals
                Introduction to Derivatives

                Question 4a

                Marks: 3

                  Assess your score
                    
                  Key Concepts
                  Differentiating Powers of x
                  Introduction to Derivatives

                  Question 4b

                  Marks: 3

                    Assess your score
                      
                    Key Concepts
                    Tangents & Normals
                    Introduction to Derivatives

                    Question 4c

                    Marks: 2

                      Assess your score
                        
                      Key Concepts
                      Intersecting Graphs

                      Question 5a

                      Marks: 1

                        Assess your score
                          
                        Key Concepts
                        Differentiating Powers of x
                        Introduction to Derivatives

                        Question 5b

                        Marks: 2

                          Assess your score
                            
                          Key Concepts
                          Tangents & Normals

                          Question 5c

                          Marks: 3

                            Assess your score
                              
                            Key Concepts
                            Tangents & Normals

                            Question 6a

                            Marks: 2

                              Assess your score
                                
                              Key Concepts
                              Differentiating Powers of x
                              Introduction to Derivatives

                              Question 6b

                              Marks: 1

                                Assess your score
                                  

                                Question 6c

                                Marks: 2

                                  Assess your score
                                    
                                  Key Concepts
                                  Key Features of Graphs

                                  Question 7a

                                  Marks: 2

                                    Assess your score
                                      
                                    Key Concepts
                                    Differentiating Powers of x
                                    Introduction to Derivatives

                                    Question 7b

                                    Marks: 3

                                      Assess your score
                                        
                                      Key Concepts
                                      Tangents & Normals

                                      Question 7c

                                      Marks: 2

                                        Assess your score
                                          
                                        Key Concepts
                                        Key Features of Graphs
                                        Basic Coordinate Geometry

                                        Question 8

                                        Marks: 3

                                          Assess your score
                                            
                                          Key Concepts
                                          Increasing & Decreasing Functions
                                          Differentiating Powers of x

                                          Question 9

                                          Marks: 3

                                            Assess your score
                                              
                                            Key Concepts
                                            Increasing & Decreasing Functions
                                            Differentiating Powers of x

                                            Question 10a

                                            Marks: 2

                                              Assess your score
                                                
                                              Key Concepts
                                              Tangents & Normals
                                              Stationary Points & Turning Points

                                              Question 10b

                                              Marks: 1

                                                Assess your score
                                                  
                                                Key Concepts
                                                Points of Inflection
                                                Second Order Derivatives

                                                Question 10c

                                                Marks: 2

                                                  Assess your score
                                                    
                                                  Key Concepts
                                                  Increasing & Decreasing Functions

                                                  Question 10d

                                                  Marks: 3

                                                    Assess your score
                                                      
                                                    Key Concepts
                                                    Derivatives & Graphs
                                                    Quadratic Functions & Graphs

                                                    Question 11a

                                                    Marks: 5

                                                      Assess your score
                                                        
                                                      Key Concepts
                                                      Stationary Points & Turning Points
                                                      Differentiating Powers of x

                                                      Question 11b

                                                      Marks: 2

                                                        Assess your score
                                                          
                                                        Key Concepts
                                                        Increasing & Decreasing Functions
                                                        Key Features of Graphs

                                                        Question 12a

                                                        Marks: 2

                                                          Assess your score
                                                            
                                                          Key Concepts
                                                          Differentiating Powers of x
                                                          Introduction to Derivatives

                                                          Question 12b

                                                          Marks: 4

                                                            Assess your score
                                                              
                                                            Key Concepts
                                                            Tangents & Normals

                                                            Question 13a

                                                            Marks: 4

                                                              Assess your score
                                                                
                                                              Key Concepts
                                                              Stationary Points & Turning Points
                                                              Differentiating Powers of x

                                                              Question 13b

                                                              Marks: 3

                                                                Assess your score
                                                                  
                                                                Key Concepts
                                                                Testing for Local Minimum & Maximum Points
                                                                Second Order Derivatives

                                                                Question 13c

                                                                Marks: 3

                                                                  Assess your score
                                                                    
                                                                  Key Concepts
                                                                  Points of Inflection
                                                                  Second Order Derivatives

                                                                  Question 13d

                                                                  Marks: 1

                                                                    Assess your score
                                                                      
                                                                    Key Concepts
                                                                    Stationary Points & Turning Points

                                                                    Question 14

                                                                    Marks: 4

                                                                      Assess your score
                                                                        
                                                                      Key Concepts
                                                                      Concavity of a Function
                                                                      Stationary Points & Turning Points


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