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Grade 12

1Using derivatives to analyse functions and sketch their graphs

Monotonicity and extrema
Maximum and minimum values
Asymptotes
Studying and graphing a function
Derivatives in real-world problems

2Vectors and coordinates in space

Vectors and their operations in space
Coordinate system in space
Operations on vectors in coordinates

3Measures of spread for grouped data

Range and interquartile range of grouped data
Variance and standard deviation of grouped data

4Antiderivatives and integrals

Antiderivatives
Definite integrals
Applications of integrals: area and volume

5Coordinate geometry in space

The equation of a plane
The equation of a line in space
Angle formulas in space
The equation of a sphere

6Conditional probability

Conditional probability
The law of total probability and Bayes' theorem

7Graduation exam revision

The exam format and how to tackle it
Revision: derivatives and graphs of functions
Revision: optimisation and real-life problems
Revision: antiderivatives and integrals
Revision: geometry in space
Revision: coordinates in space
Revision: trigonometry, exponentials, logarithms and sequences
Revision: statistics and probability
Graduation practice paper 1
Graduation practice paper 2
Graduation practice paper 3
Graduation practice paper 4

Home›Grade 12

Chapter 1

Using derivatives to analyse functions and sketch their graphs

Monotonicity, extrema, maximum and minimum, asymptotes and curve sketching.

1.1 Monotonicity and extrema24 min
1.2 Maximum and minimum values22 min
1.3 Asymptotes20 min
1.4 Studying and graphing a function25 min
1.5 Derivatives in real-world problems22 min

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