# Differential Calculus notes

> CAPS-aligned study notes for Differential Calculus in Grade 12 Technical Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus

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## Sections in Differential Calculus

Each entry shows the free preview (about 200 characters). Create a free Hlayiso account to read the full notes, practise every question and track your progress.

- [Sketching Cubic Functions and Optimisation](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus/sketching-cubic-functions-and-optimisation) — Sketching Cubic Functions and Optimisation The ability to sketch cubic polynomial functions using calculus is one of the most examined topics in Technical Mathematics. By finding the stationary…
- [Limits Average Gradient and First Principles](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus/limits-average-gradient-and-first-principles) — Limits, Average Gradient and First Principles Differential Calculus begins with three foundational concepts: limits, the average gradient of a curve, and differentiation from first principles. These…
- [Differentiation Rules and Equations of Tangents](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus/differentiation-rules-and-equations-of-tangents) — 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…

## Other Technical Mathematics topics

- [Complex Numbers](https://www.hlayiso.com/grade-12/technical-mathematics/notes/complex-numbers)
- [Analytical Geometry](https://www.hlayiso.com/grade-12/technical-mathematics/notes/analytical-geometry)
- [Polynomials and Algebra](https://www.hlayiso.com/grade-12/technical-mathematics/notes/polynomials-and-algebra)
- [Integration](https://www.hlayiso.com/grade-12/technical-mathematics/notes/integration)
- [Trigonometry](https://www.hlayiso.com/grade-12/technical-mathematics/notes/trigonometry)
- [Euclidean Geometry](https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry)

## Frequently asked questions

### 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.

### Are the Differential Calculus notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

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.

### Are there quizzes for Differential Calculus?

Yes. Hlayiso has quizzes for Differential Calculus in Grade 12 Technical Mathematics. Test your understanding after reading the notes.

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