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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Graphs 9

18 practice questions

Practice questions

1–3 of 3 · Hard

  1. Question 1

    2 marks · Hard

    Differentiate the function with respect to , and state the value of the gradient when .

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  2. Question 2

    4 marks · Hard

    (a)

    Find the coordinates of the stationary points of the curve .

    [2 marks]
    (b)

    Determine the nature (maximum or minimum) of each stationary point.

    [2 marks]
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  3. Question 3

    4 marks · Hard

    A particle moves along a straight line such that its displacement after t seconds is given by , where s is in metres.

    (a)

    Find the times when the particle is at rest.

    [2 marks]
    (b)

    Explain how you would determine whether the particle is speeding up or slowing down at seconds.

    [2 marks]
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