Cambridge AS & A Level Mathematics
2.4, 3.4Differentiation
Differentiation in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic60 practice questions3 lessons
Overview
The derivative of tan⁻¹x is Paper 3 only.
Learning objectives
What the syllabus expects you to be able to do.
- 3.4.1Papers 2 and 3: use the derivatives of eˣ, ln x, sin x, cos x and tan x (and, Paper 3 only, tan⁻¹x) with constant multiples, sums, differences and composites.
- 3.4.2Papers 2 and 3: differentiate products and quotients.
- 3.4.3Papers 2 and 3: find and use the first derivative of a function defined parametrically or implicitly.
Lessons
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Derivatives of exponential, logarithmic and trigonometric functions
40 min
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Implicit and parametric differentiation
45 min
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The product and quotient rules
40 min
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Sample question
A sample question on this topic. Answer it, check it, then read the worked answer.
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