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Questions › JNU › JNU SIS 2017 › Q35
2 marks, −1Mathematics › Single-variable optimisation › Unconstrained extrema and the first- and second-order conditionsEasyabout 1 min

JNU SIS 2017 Question 35: Single-variable optimisation

Let f(x)=x3−3x2+3f(x) = x^3 - 3x^2 + 3f(x)=x3−3x2+3. On what interval is the function decreasing?

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Plain-text version

Let f(x) = x³ - 3x² + 3. On what interval is the function decreasing? (A) (1, 1) (B) (1, 3) (C) (2, 3) (D) (0, 2)

Also written as: Let f(x) = x^3 - 3x^2 + 3. On what interval is the function decreasing?

Single-variable optimisation has come up 37 times in 6 exams since 2010.

What this question tests

This question is on Unconstrained extrema and the first- and second-order conditions, part of Single-variable optimisation in Mathematics.

Finding and classifying maxima and minima using derivatives.

TestStop has 12 past-paper questions on this subtopic.

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Question from the JNU SIS 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.