IGCSE 0580 Question Bank

Question 21 — IGCSE 0580 May/June 2023 Paper 21

Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Functions and Graphs · Estimate gradients using tangents. Worth 6 marks.

Functions and GraphsEstimate gradients using tangents6 marksExtendedNon-calculatorPaper 21May/June 2023
Open in interactive question bank →IGCSE Mathematics 0580 May/June 2023 Paper 21 Question 21 – Functions and Graphs, Estimate gradients using tangents, 6 marks

Question text

21 A curve has equation y = x3-12x. (a) Find the gradient of the curve at the point (1,−11). ................................................. [3] (b) Find the coordinates of the turning points of the curve. (................ , ...............) and (................ , ...............) [3] Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. © UCLES 2023 0580/21/M/J/23

Mark scheme

Mark scheme for IGCSE 0580 May/June 2023 Paper 21 Question 21

More Functions and Graphs past paper questions