Differential Calculus notes

Sections

Sketching Cubic Functions and Optimisation

Once you can differentiate, you use the derivative: equations of tangents (and normals), stationary points, optimisation in technical contexts, rates of change including motion, and sketching…

Limits Average Gradient and First Principles

Differential calculus measures how fast a quantity changes. In Technical Mathematics you move from the average rate of change between two points to the instantaneous rate at one point: the gradient…

Differentiation Rules and Equations of Tangents

While first principles gives you a deep understanding of what a derivative is, using it for every function is extremely time-consuming. The power rule and related differentiation rules provide…

Common questions

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What is covered in Differential Calculus for Grade 12 Technical Mathematics?

The Differential Calculus section covers all key concepts from the Grade 12 Technical Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

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Our Differential Calculus notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Technical Mathematics exams.

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Differential Calculus notes

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Common questions

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