ZIMSEC A-Level Pure Mathematics
6.5.1Differentiation
Differentiation in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic139 practice questions7 lessons
Overview
Form 5.
Learning objectives
What the syllabus expects you to be able to do.
- 6.5.1.1Form 5: differentiate from first principles (polynomials, rational and trigonometrical functions; not logarithmic or exponential functions).
- 6.5.1.2Form 5: differentiate polynomials, rational functions, natural logarithms, exponentials and trigonometrical functions.
- 6.5.1.3Form 5: differentiate sums, differences, products, quotients and composite functions.
- 6.5.1.4Form 5: carry out implicit and parametric differentiation.
- 6.5.1.5Form 5: find gradients, tangents, normals and rates of change.
- 6.5.1.6Form 5: locate stationary points and distinguish between maxima, minima and points of inflexion, and solve problems involving differentiation.
Lessons
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Derivatives of exponential, logarithmic and trigonometric functions
40 min
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Differentiating powers of x and the chain rule
40 min
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Implicit and parametric differentiation
45 min
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Stationary points, optimisation and curve sketching
50 min
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Tangents, normals, increasing functions and rates of change
45 min
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The gradient of a curve and differentiation from first principles
40 min
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The product and quotient rules
40 min
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Sample question
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