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ZIMSEC O-Level Additional Mathematics

6.1.10Differentiation

Differentiation in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic169 practice questions9 lessons

In this topic

Lessons

  • Gradients of curves and the derived function

    40 min

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  • 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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  • Stationary points: maxima and minima

    45 min

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  • 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.

Differentiation: 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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