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Cambridge IGCSE Additional Mathematics

14.5Gradients, tangents and normals

Gradients, tangents and normals in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Learning objectives

What the syllabus expects you to be able to do.

  1. 14.5Use differentiation to find gradients, tangents and normals.

Lessons

  • Tangents and normals to curves

    45 min

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Sample question

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

Gradients, tangents and normals: sample question

1 mark

The tangent to a curve at a point PP has gradient 25\dfrac{2}{5}. Find the gradient of the normal at PP. Give your answer as a fraction or a decimal.

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

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