Question 9 — IGCSE 0580 Oct/Nov 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Calculus. Worth 8 marks.
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Question text
9
y
B NOT TO
SCALE
A
x
O
The diagram shows a sketch of the graph of y = 4x3-x4.
The graph crosses the x-axis at the origin O and at the point A.
The point B is a maximum point.
(a) Differentiate 4x3-x4.
................................................. [2]
(b) Find the coordinates of B.
(....................... , .......................) [3]
(c) Find the gradient of the graph at the point A.
................................................. [3]
© UCLES 2023 0580/42/O/N/23
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