# 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…

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## Full notes

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## More in Differential Calculus

- [Sketching Cubic Functions and Optimisation](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus/sketching-cubic-functions-and-optimisation) — Previous section
- [Differentiation Rules and Equations of Tangents](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus/differentiation-rules-and-equations-of-tangents) — Next section
- [All Differential Calculus sections](https://www.hlayiso.com/grade-12/technical-mathematics/notes/differential-calculus)

## Frequently asked questions

### What will I learn in "Limits Average Gradient and First Principles"?

This section covers Limits Average Gradient and First Principles as part of Differential Calculus in Grade 12 Technical Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Limits Average Gradient and First Principles", are written against the official CAPS curriculum and ATP for Grade 12 Technical Mathematics.

### What should I study after "Limits Average Gradient and First Principles"?

Continue with the next section in Differential Calculus, or test your understanding with the interactive quiz linked to this section.

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