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2 marks, −1MathematicsSingle-variable optimisationUnconstrained extrema and the first- and second-order conditionsEasyabout 1 min
JNU SIS 2015 Question 49: Single-variable optimisation
Answer and worked solution
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Plain-text version
f(x) = (2x - 3)³ (A) has a minimum at x = 3/2 (B) has a point of inflexion at x = 3/2 (C) has a maximum at x = 3/2 (D) has a minimum at x = 2/3
Also written as: f(x) = (2x - 3)^3
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.
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Question from the JNU SIS 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.