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Mathematics: AA HL

Calculus

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Mathematics: AA HL

Available time 20 Minute(s)

There is a local maximum at point A and a local minimum at point B.

Calculus

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Available time 20 Minute(s)

01. Question

Level Medium

Maximum Mark 6

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Let $f (x) = 1.5 x^{3} - 1.5 x$ . There is a local maximum at point A and a local minimum at point B.

(a) (i) Find the coordinates of point A.

[Marks: 1]

(a). (ii) Find the coordinates of point B.

[Marks: 1]

(b) Find the coordinates of the point of inflection of f.

[Marks: 2]

(c). Write down the values of x for which the graph of f has a negative rate of change.

[Marks: 2]

End Test