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Cambridge IGCSE Additional Mathematics

14.3Derivatives of standard functions and the chain rule

Derivatives of standard functions and the chain rule in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic59 practice questions3 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 14.3Know and use the derivatives of xⁿ, sin x, cos x, tan x, eˣ and ln x, with constant multiples, sums and the chain rule.

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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Sample question

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

Derivatives of standard functions and the chain rule: 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.

Turn Derivatives of standard functions and the chain rule into a strength.

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