smc-1089-50-Other

Calculus, 2ADV C3 SM-Bank 2

Given , prove that

(3 marks)

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For what values of is increasing? (3 marks)

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Find the coordinates of the stationary point on the graph , and determine its nature. (3 marks)

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Let , where is a constant.

Find the values of for which is an increasing function. (2 marks)

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♦♦ Mean mark 28%.
MARKER’S COMMENT: The arithmetic required to solve

proved the undoing of many students.

The cubic has a point of inflection at .

Show that . (2 marks)

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