2026/27 Enrolment Open · Free Assessment
Cambridge IGCSE MathematicsSyllabus 0580Unit 5: Algebra
0580 Overview
CoreExtended
Chapter 18

Curved graphs

Plot and interpret quadratic, cubic, reciprocal and exponential curves, estimate gradients using tangents, and apply differentiation to find turning points for Cambridge IGCSE Mathematics.

What You'll Learn

  • 01Plotting and sketching quadratic graphs
  • 02Reciprocal and cubic curves
  • 03Exponential growth and decay graphs
  • 04Solving non-linear equations graphically
  • 05Estimating curve gradients with tangents
  • 06Differentiation and stationary turning points
Resources

Topical Past Papers

Practice questions from licensed topical past papers organised around this topic.

View Topical Past Papers →

Chapter Topics

5 official subtopics
18.1Plotting and drawing quadratic graphs
18.2Reciprocal and cubic graphs
18.3Exponential and other non-linear graphs
Extended
18.4Estimating gradients of curves and solving equations graphically
Extended
18.5Differentiation, stationary points and turning points
Extended

Your Learning Journey

Plan your chapter across focused 60-minute sessions.

5 Sessions5 Hours (300 min)
01
LEARN
60 MIN
18.1 Plotting and drawing quadratic graphs
18.2 Reciprocal and cubic graphs
Session 1 of 5
02
LEARN
60 MIN
18.3 Exponential and other non-linear graphs
18.4 Estimating gradients of curves and solving equations graphically
Session 2 of 5
03
LEARN
60 MIN
18.5 Differentiation, stationary points and turning points
Session 3 of 5
04
PRACTICE
60 MIN
Chapter Practice
Session 4 of 5
05
EXAM
60 MIN
Past Paper Practice
Session 5 of 5
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics

Master Chapter 18: Curved graphs with Siddharth Agrawal

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