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Questions › DSE › DSE 2019 › Q3
0 marksMathematics › Single-variable optimisation › Optimisation on a closed intervalModerateabout 2 min

DSE 2019 Question 3: Single-variable optimisation

The maximum value attained by the function f(x)=x3−x2−x−1f(x)=x^{3}-x^{2}-x-1f(x)=x3−x2−x−1 on the set S={x∣x2−x−2≤0}S=\{x\mid x^{2}-x-2\le 0\}S={x∣x2−x−2≤0} occurs at

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The maximum value attained by the function f(x)=x³-x²-x-1 on the set S={x| x²-x-2≤ 0} occurs at (A) x=2 (B) x=5/2 (C) x=1 (D) x=1/3

Also written as: The maximum value attained by the function f(x)=x^3-x^2-x-1 on the set S={x| x^2-x-2<= 0} occurs at

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

What this question tests

This question is on Optimisation on a closed interval, part of Single-variable optimisation in Mathematics.

Global maxima and minima when the domain is bounded, including endpoints and existence.

TestStop has 13 past-paper questions on this subtopic.

Practise Single-variable optimisationMore on Optimisation on a closed interval

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Question from the DSE 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.