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Cambridge IGCSE Mathematics

2.12Differentiation

Differentiation in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic40 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 2.12.1Extended: estimate the gradient of a curve at a point by drawing a tangent.
  2. 2.12.2Extended: differentiate functions of the form axⁿ, where n is a positive integer or zero, and sums of up to three such terms.
  3. 2.12.3Extended: use differentiation to find gradients of curves and the coordinates of stationary (turning) points.
  4. 2.12.4Extended: decide whether a turning point is a maximum or a minimum.

Lessons

  • Differentiation and stationary points

    40 min

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  • Gradient of a curve: drawing tangents

    25 min

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Sample question

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

Differentiation: sample question

1 mark

Differentiate y=5x3y = 5x^3.

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