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Cambridge IGCSE Additional Mathematics

14.7Connected rates of change, small increments and approximations

Connected rates of change, small increments and approximations in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic35 practice questions2 lessons
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Learning objectives

What the syllabus expects you to be able to do.

  1. 14.7Apply differentiation to connected rates of change, small increments and approximations.

Lessons

  • Rates of change and connected rates of change

    45 min

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  • Small increments and approximations

    40 min

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Sample question

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

Connected rates of change, small increments and approximations: sample question

1 mark

The amount of water, QQ litres, in a drum tt minutes after filling starts is Q=5t2+2tQ = 5t^2 + 2t. Find the rate at which QQ is increasing when t=3t = 3.

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

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