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Questions › CUET-PG › CUET-PG 2018 › Q45
4 marks, −1Mathematics › Single-variable optimisation › Unconstrained extrema and the first- and second-order conditionsModerateabout 1 min

CUET-PG 2018 Question 45: Single-variable optimisation

Let y=x4−6x3+4x2−13y=x^4-6x^3+4x^2-13y=x4−6x3+4x2−13. At x=4x=4x=4, the function is

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Let y=x⁴-6x³+4x²-13. At x=4, the function is (A) Increasing (B) Decreasing (C) Stationary (D) None of them are correct

Also written as: Let y=x^4-6x^3+4x^2-13. At x=4, the function is

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 CUET-PG 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.