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ZIMSEC O-Level Additional Mathematics

6.1.10.4Applications: tangents, normals and rates of change

Applications: tangents, normals and rates of change in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic55 practice questions3 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.1.10.4.1Form 3: apply differentiation to find gradients and the equations of tangents and normals to a curve.
  2. 6.1.10.4.2Form 3: apply differentiation to rates of change 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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  • 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.

Applications: tangents, normals and rates of change: 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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