IGCSE 0580 Question Bank

Question 21 — IGCSE 0580 May/June 2025 Paper 23

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

Functions and GraphsCalculus6 marksExtendedNon-calculatorPaper 23May/June 2025
Open in interactive question bank →IGCSE Mathematics 0580 May/June 2025 Paper 23 Question 21 – Functions and Graphs, Calculus, 6 marks

Question text

21 (a) Differentiate x3-3x2+1. ................................................. [2] (b) Find the coordinates of the turning points of the graph of y = x3-3x2+1. ( ...................... , ...................... ) ( ...................... , ...................... ) [4] (cid:300)(cid:211)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2025 (cid:300)(cid:225)(cid:281)(cid:242)(cid:217)(cid:289)(cid:293)(cid:247)(cid:208)(cid:257)(cid:239)(cid:266)(cid:229)(cid:184)(cid:274)(cid:258)(cid:260)(cid:258) 0580/23/M/J/25 (cid:293)(cid:229)(cid:229)(cid:277)(cid:181)(cid:181)(cid:197)(cid:245)(cid:261)(cid:213)(cid:229)(cid:197)(cid:197)(cid:277)(cid:197)(cid:277)(cid:181)(cid:213) ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000014 * 14 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44) NIGRAM DFD

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Mark scheme for IGCSE 0580 May/June 2025 Paper 23 Question 21

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