NOT TO SCALE The diagram shows the graph of $$\(y=3 x-x^{3}\)$$. The graph crosses the $$\(x\)$$-axis at $$\(A\)$$, at $$\(O\)$$ and at $$\(B\)$$. The turning points of the graph are at $$\(P\)$$ and at $$\(Q\)$$. Differentiate $$\(3 x-x^{3}\)$$. ............................................. (ii) Find the coordinates of $$\(P\)$$ and $$\(Q\)$$. $$\[ \begin{aligned} & P(\ldots \ldots \ldots \ldots \ldots \ldots \ldots . ., \text {,.......................... }) \\ & Q(\ldots \ldots \ldots \ldots \ldots \ldots \ldots . ., \ldots \ldots \ldots \ldots \ldots \ldots \ldots . .) \end{aligned} \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s25_qp_22 Year:2025 Question No:21(b)

Answer:



Knowledge points:

C2.7.1 Continue a given number sequence. (Recognise sequences of square, cube and triangular numbers.)

Solution:

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