The function reaches a (relative) minimum where
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4 marks, −1MathematicsSingle-variable optimisationUnconstrained extrema and the first- and second-order conditionsEasyabout 1 min
CUET-PG 2020 Question 64: Single-variable optimisation
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Plain-text version
The function y = f(x) reaches a (relative) minimum where (A) f′(x) = 0 and f′′(x) > 0 (B) f′(x) = 0 and f′′(x) < 0 (C) f(x) = 0 and f′(x) > 0 (D) f(x) = 0 and f′(x) < 0
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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