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ZIMSEC O-Level Additional Mathematics

6.1.10.2Rules of derivatives and derivatives of simple functions

Rules of derivatives and derivatives of simple functions in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic79 practice questions4 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.1.10.2.1Form 3: differentiate functions such as axⁿ, ln x, sin x, cos x, tan x, 1/x and eˣ.
  2. 6.1.10.2.2Form 3: differentiate using the product and quotient rules.

Lessons

  • Derivatives of trigonometric, exponential and logarithmic functions

    45 min

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  • Differentiating powers of x

    40 min

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  • The chain rule for composite functions

    40 min

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  • The product and quotient rules

    45 min

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Sample question

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

Rules of derivatives and derivatives of simple functions: sample question

1 mark

Find the gradient of the curve y=(5−x)3y = (5 - x)^3 at the point where x=3x = 3.

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

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