Grade 12 Calculus & cubic functions 😁

First Principles and Differentiation

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2 Deriving using first principle

Lesson 1 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Practice

Lesson 2 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Worksheet ~ First principle

Lesson 3 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Test: first principle

Lesson 4 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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3 Standard differentiation

Lesson 5 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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4 More differentiation

Lesson 6 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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5 Extra Differentiation

Lesson 7 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Practice

Lesson 8 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Worksheet ~ Standard differentiation

Lesson 9 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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Test: Differentiation

Lesson 10 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

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6 Limits

Lesson 11 of 11 within section First Principles and Differentiation. You must enroll in this course to access course content.

Cubic Functions

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Pre Course Test (Calculus)

Lesson 1 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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1 Long division

Lesson 2 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 3 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Long division

Lesson 4 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Test: long division

Lesson 5 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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7 Gradient

Lesson 6 of 40 within section Cubic Functions. You must enroll in this course to access course content.

7 of 40

Practice

Lesson 7 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Gradient

Lesson 8 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Test: gradient

Lesson 9 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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8 Turning points and POI

Lesson 10 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 11 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ TP’s and P.O.I’s

Lesson 12 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Test: TP’s and P.O.I’s

Lesson 13 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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9 Concavity

Lesson 14 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 15 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Concavity

Lesson 16 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Test: Concavity

Lesson 17 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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10 Sketching cubic functions

Lesson 18 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 19 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Sketching cubic functions

Lesson 20 of 40 within section Cubic Functions. You must enroll in this course to access course content.

21 of 40

Test: Sketching cubic functions

Lesson 21 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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11 Finding the equation of a cubic function method 1

Lesson 22 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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12 Finding the equation of a cubic function method 2

Lesson 23 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 24 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 25 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 26 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Determining cubic equations

Lesson 27 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Test: Determining Equations of cubic functions

Lesson 28 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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29 of 40

13 Tangents to cubic functions

Lesson 29 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 30 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Tangents to cubic functions

Lesson 31 of 40 within section Cubic Functions. You must enroll in this course to access course content.

32 of 40

Test: Tangents to cubic functions

Lesson 32 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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14 Local turning points

Lesson 33 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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15 Normal line

Lesson 34 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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16 Derivative of a cubic function

Lesson 35 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Practice

Lesson 36 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Worksheet ~ Derivative of a cubic function

Lesson 37 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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20 Sketching a cubic function with one stationary point

Lesson 38 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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21 Equations of cubic functions with one stationary point

Lesson 39 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Post Course Test (Calculus)

Lesson 40 of 40 within section Cubic Functions. You must enroll in this course to access course content.

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Mathematical Modelling (2D and 3D Calculus)

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Max and min area

Lesson 1 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

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Max and min area practice

Lesson 2 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

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19 Speed, Velocity and acceleration

Lesson 3 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

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Practice

Lesson 4 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

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Practice

Lesson 5 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

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Practice

Lesson 6 of 6 within section Mathematical Modelling (2D and 3D Calculus). You must enroll in this course to access course content.

Worksheets

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Questions and memo 1

Lesson 1 of 2 within section Worksheets. You must enroll in this course to access course content.

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Questions and memo 2

Lesson 2 of 2 within section Worksheets. You must enroll in this course to access course content.

First Principles and Differentiation

Cubic Functions

Mathematical Modelling (2D and 3D Calculus)

Worksheets

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