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CAPE Pure MathematicsCAPE Unit 1 Topics

Calculus & Trigonometry

University 8 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial team
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What calculus & trigonometry means

Differentiation, integration and trigonometric identities for CAPE Pure Maths Unit 1.

Before you start

Not confident yet? Work through Functions & Algebra first.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

The derivative of x³ with respect to x is:

  • 3x²
  • 3x
  • x⁴/4
Answer: 3x²

Working: By the power rule d/dx xⁿ = n xⁿ⁻¹, so it is 3x².

Curriculum and exam alignment

Tertiary foundation coursework

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other CAPE Unit 1 Topics skills in CAPE Pure Mathematics, at the same point in the course.

Other CAPE Pure Mathematics topics

Related study guides

Exams that assess calculus & trigonometry

University work on this skill feeds directly into these exam papers. Each page lists the CAPE Pure Mathematics topics that appear on it.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

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Practise calculus & trigonometry

8 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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