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Cambridge IGCSE Additional Mathematics

14.1-14.2The derived function and its notation

The derived function and its notation in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic12 practice questions1 lesson
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Learning objectives

What the syllabus expects you to be able to do.

  1. 14.1Understand the idea of a derived function (informally, without first principles).
  2. 14.2Use the notations for first and second derivatives.

Lessons

  • Gradients of curves and the derived function

    40 min

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Sample question

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

The derived function and its notation: sample question

1 mark

The points P(2,4)P(2, 4) and Q(2.1,4.41)Q(2.1, 4.41) lie on the curve y=x2y = x^2. Find the exact gradient of the chord PQPQ.

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

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