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Cambridge IGCSE Additional Mathematics

14.6, 14.9Stationary points and their nature

Stationary points and their nature in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic24 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 14.6Use differentiation to find stationary points.
  2. 14.9Use the first and second derivative tests to tell maxima from minima, with full justification.

Lessons

  • Stationary points: maxima and minima

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Stationary points and their nature: sample question

1 mark

Find the xx-coordinate of the stationary point of the curve y=5+6x−x2y = 5 + 6x - x^2.

Complete: x = …

Only if the answer has a unit, e.g. cm or km/h.

Turn Stationary points and their nature into a strength.

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