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Questions › UoH › UoH 2018 › Q36
1 mark, −0.33Mathematics › Single-variable optimisation › Unconstrained extrema and the first- and second-order conditionsEasyabout 1 min

UoH 2018 Question 36: Single-variable optimisation

The function f(x) = x2x^2x2 – 12x + 36x will attain a ……… at when x = 6

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The function f(x) = x² – 12x + 36x will attain a ……… at when x = 6 (A) maximum (B) minimum (C) point of inflection (D) none of the above

Also written as: The function f(x) = x^2 – 12x + 36x will attain a ……… at when x = 6

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.

Practise Single-variable optimisationMore on Unconstrained extrema and the first- and second-order conditions

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Question from the UoH 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.