Maths grade 12 calculus Study guides, Study notes & Summaries

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Summaries and notes covering : series and sequences, functions, finance, statistics, probability, calculus and trigonometry needed for Grade 12 level, made by a 95% maths student.

Detailed examples and explanations of Differential Calculus Maths Grade 12 Based on IEB syllabus -limits -first principles of differentiation -short method of differentiation -cubic functions -applications of calculus/optimisation

1. Polynomial a mathematical expression that is the sum of a number of terms 2. Quadratic Equa- tions a function in the form: f(x) = ax² + bx + c = 0, a`0. 3. cubic equation a polynomial equation with a term of degree 3 as its term of highest degree 4. Rational polyno- mial expression 5. Trigonometric Equations 6. How to solve algerbric equa- tions 7. 4+2+x=8 6+x=8 6+x-6=8 6 show the ratio of two polynomials. It means both the nu- merator and denominator are po...

This document contains detailed in-depth notes about limits (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Limits 1.2 Important Factorisation Principles for Solving Limits 1.3 Visual Representative Example of What a Limit Is 1.4 Various Worked Examples Alongside each of the topics listed above, there are numerous worked examples that are covered step by step.

This is a summary of all content covered in Grade 12 Mathematics for Paper 1. Sections included are Algebra, Number Patterns, Finance, Functions, Inverse Functions, Calculus and Probability. The notes also include typical NSC exam questions, with detailed and understandable solutions.

Detailed notes of the Grade 12 Calculus section Including: Discontinuities Limits (examples included) Steps on differentiation using first principles Rules for differentiation Tangents to a curve Cubic functions Graph interpretation Curve sketching Optimisation (4 pages of examples)

A summary of everything you need to know to ace the CAPS Grade 12 Maths Paper 1 The summary includes notes on: Number Patterns Algebra Finance Probability Calculus

This document contains detailed in-depth notes about gradients and derivatives (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Important Definitions and Notes for Gradients 1.2 Important Definitions and Notes for Average Gradients 1.3 Gradient from First Principles 1.4 Rules for Differentiation Alongside each of the topics listed above, there are numerous worked examples that are covered step by step.

Detailed but summarised handwritten notes on calculus