# The Derivative of a Function at a Point

> This section is the derivative of a function at a point. The average gradient of chord AB becomes the instantaneous gradient at A when B moves toward A. That limit is f'(a): the gradient of the…

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## Full notes

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## More in Differential Calculus

- [Average Rate of Change](https://www.hlayiso.com/grade-12/mathematics/notes/differential-calculus/average-rate-of-change) — Previous section
- [Uses of the Derivative](https://www.hlayiso.com/grade-12/mathematics/notes/differential-calculus/uses-of-the-derivative) — Next section
- [All Differential Calculus sections](https://www.hlayiso.com/grade-12/mathematics/notes/differential-calculus)

## Frequently asked questions

### What will I learn in "The Derivative of a Function at a Point"?

This section covers The Derivative of a Function at a Point as part of Differential Calculus in Grade 12 Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

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

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

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