Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 9
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Differentiate with respect to . Give your answer in terms of .
Question 2
3 marks · Normal
Answer and see the solution →The curve has stationary points.
Find the coordinates of the stationary points and determine whether each is a maximum or a minimum.
Question 3
3 marks · Normal
Answer and see the solution →A particle moves along a straight line and its displacement from a fixed point at time seconds is given by .
Explain how you would find the velocity and acceleration of the particle at . Write down the values.
Question 4
4 marks · Normal
Answer and see the solution →Let .
(a)[1 mark]Expand to write it in the form .
(b)[1 mark]Differentiate your answer from part a with respect to .
(c)[2 marks]Calculate the gradient of the curve at .
Question 5
4 marks · Normal
Answer and see the solution →The graph below shows the curve .
(a)[2 marks]By considering , find the x-coordinates of any stationary points of the curve.
(b)[2 marks]Classify each stationary point as a maximum or minimum, giving a reason for your answer.
Question 6
2 marks · Normal
Answer and see the solution →If the velocity in m/s of a particle is given by , where is in seconds, find the acceleration of the particle.
Question 7
3 marks · Normal
Answer and see the solution →Differentiate the function with respect to and find the value of the gradient at .
Question 8
3 marks · Normal
Answer and see the solution →Explain how you can use the second derivative to classify stationary points of a cubic function.
Illustrate your answer by referring to the function .