The curve C with equation y = f(x) is shown in the diagram, where The curve has

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The curve C with equation y = f(x) is shown in the diagram, where 

The curve has a local minimum at A and a local maximum at B.

a. Show that the x-coordinates of A and B satisfy the equation tan 2x = −0.5 and hence find the coordinates of A and B.

b. Using your answer to part a, find the coordinates of the maximum and minimum turning points on the curve with equation y = 2 + 4f(x − 4).

c. Determine the range of values for which f(x) is concave.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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