MA14-05 Maths Watch
Stationary Points: Maxima and Minima
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In this lesson
In this video you'll learn about stationary points for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to apply differentiation to find the gradient at a specific point or a stated gradient value, and separately to find and classify stationary points as maxima or minima.
What it covers
- 1:01 Stationary points: telling the two questions apart
- 4:09 Worked example 1: dy/dx = k
- 7:18 Worked example 2: dy/dx = 0, then classify
- 10:20 Exam technique
- 13:23 What's next
Key words
For: Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| Edexcel IGCSE 4MA1 | H3.4C | Determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs |
| Edexcel IGCSE 4MA1 | H3.4D | Distinguish between maxima and minima by considering the general shape of the graph only |
| Cambridge IGCSE 0580 | E2.12 | Estimate gradients of curves by drawing tangents. |
For teachers
This GCSE Maths lesson teaches stationary points: maxima and minima. By the end, students should be able to apply differentiation to find the gradient at a specific point or a stated gradient value, and separately to find and classify stationary points as maxima or minima. It works through two worked examples and the mistakes examiners report.