Question 21 — IGCSE 0580 May/June 2025 Paper 22
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Co-ordinate geometry · Cartesian coordinates (2D). Worth 9 marks.
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Question text
21
y
Q
NOT TO
A O B x SCALE
P
The diagram shows the graph of y = 3x-x3 .
The graph crosses the x-axis at A, at O and at B.
The turning points of the graph are at P and at Q.
(a) Find the x-coordinate of A and the x-coordinate of B.
Give your answers as exact values.
x-coordinate of A ................................................
x-coordinate of B ................................................
[3]
(b) (i) Differentiate 3x-x3 .
................................................. [2]
(ii) Find the coordinates of P and Q.
P ( ..................... , ..................... )
Q ( ..................... , ..................... )
[4]
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