10 A curve has the equation y = x3-9x2-48x. (a) Differentiate x3-9x2-48x. ................................................. [2] (b) Find the coordinates of the turning points of the graph of y = x3-9x2-48x. Y ou must show all your working. ( ...................... , ...................... ) and ( ...................... , ...................... ) [4] (c) Determine whether each of the turning points is a maximum or a minimum. Give reasons for your answers. [3] (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:184)(cid:258)(cid:215) © UCLES 2024 (cid:300)(cid:234)(cid:218)(cid:252)(cid:212)(cid:290)(cid:247)(cid:269)(cid:219)(cid:256)(cid:255)(cid:244)(cid:234)(cid:182)(cid:227)(cid:281)(cid:297)(cid:258) 0580/42/O/N/24 (cid:293)(cid:213)(cid:181)(cid:277)(cid:181)(cid:277)(cid:197)(cid:181)(cid:277)(cid:277)(cid:229)(cid:197)(cid:261)(cid:245)(cid:293)(cid:181)(cid:245)(cid:213) SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000019 * 19 (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:10)(cid:44) BLANK PAGE (cid:300)(cid:215)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:184)(cid:258)(cid:215) © UCLES 2024 (cid:300)(cid:234)(cid:217)(cid:251)(cid:220)(cid:296)(cid:251)(cid:285)(cid:222)(cid:250)(cid:242)(cid:181)(cid:238)(cid:190)(cid:247)(cid:281)(cid:281)(cid:258) 0580/42/O/N/24 (cid:293)(cid:213)(cid:197)(cid:213)(cid:245)(cid:245)(cid:229)(cid:213)(cid:261)(cid:293)(cid:245)(cid:197)(cid:261)(cid:277)(cid:261)(cid:245)(cid:293)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000020 * 20 (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:3)(cid:1)(cid:44) BLANK PAGE 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. (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:260)(cid:215) © UCLES 2024 (cid:300)(cid:234)(cid:217)(cid:250)(cid:220)(cid:286)(cid:265)(cid:300)(cid:217)(cid:248)(cid:249)(cid:174)(cid:208)(cid:290)(cid:213)(cid:265)(cid:289)(cid:258) 0580/42/O/N/24 (cid:293)(cid:293)(cid:277)(cid:213)(cid:181)(cid:245)(cid:229)(cid:245)(cid:293)(cid:197)(cid:261)(cid:197)(cid:197)(cid:277)(cid:229)(cid:245)(cid:245)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD