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ZIMSEC O-Level Additional Mathematics

6.1.10.1Gradient of a curve and derivative notation

Gradient of a curve and derivative notation in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic18 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.1.10.1.1Form 3: approximate the gradient of the tangent to a curve at a point from the gradients of a sequence of chords (first principles).
  2. 6.1.10.1.2Form 3: use appropriate notation for 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.

Gradient of a curve and derivative 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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