Skip to main content
DigiTransact Mastermind
Maths•University Calculus & Matrices

Differentiation

University 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
Start practice

What differentiation means

You learn how to find the rate of change of simple algebraic expressions. This helps you work out slopes, simplify motion and growth problems, and prepare for later calculus work.

What you will practise

  • Differentiate polynomial terms using the power rule.
  • Find the derivative of simple linear expressions.
  • Recognise when a constant gives zero.
  • Write answers in the simplest algebraic form.

Before you start

You should be comfortable with powers, coefficients, and basic algebraic notation. It also helps to know how to simplify expressions and read function notation.

Worked example

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

Question

Differentiate y = x³ with respect to x.

  • x²
  • 2x
  • 3x²
  • 3x
Answer: 3x²

Working: d/dx(xⁿ) = n x^(n−1), so d/dx(x³) = 3x².

Common mistakes to avoid

  • Forgetting to reduce the power by one after applying the power rule.
  • Treating a constant term like a variable term instead of giving zero.
  • Changing the coefficient when only the power should move.
  • Missing the simple result for linear terms such as 5x.

Curriculum and exam alignment

Tertiary foundation coursework

This topic normally appears early in university and tertiary foundation calculus, before more advanced topics such as integration and differential equations. It also supports later coursework and professional entrance tests that check basic algebraic differentiation.

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 University Calculus & Matrices skills in Maths, at the same point in the course.

Other Maths topics

Counting with PicturesPicture Addition & SubtractionEarly NumeracyNumber BasicsSHS Core MathematicsUniversity Mathematics

Related study guides

Exam Guides
SAT & ACT Guide for African Students Applying to US Universities

Dreaming of a US university with a scholarship? The SAT or ACT is your gateway. This guide explains …

8 min read
Exam Preparation
How to Master WASSCE Core Mathematics: Topics, Traps and Tactics

Core Maths is compulsory and it fails more WASSCE candidates than any other paper. This guide breaks…

7 min read

Exams that assess differentiation

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

BECEBECE practice questionsListed as a related subject on the BECE practice page.WASSCEWASSCE practice questionsListed as a related subject on the WASSCE practice page.GESGES practice questionsListed as a related subject on the GES practice page.

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.

Written by
DigiTransact Mastermind editorial team
Human review
Not yet. Subject-specialist review is scheduled; this page will say so once it has happened. See which content receives human review.
Last updated

Spotted a mistake on this page? Report a content correction and we will check it against the source. You can also read our editorial policy and how we use AI and where it falls short.

All Maths skills

Practise differentiation

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

Start practice