Question 37 (iii) (Choice A) - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at September 2, 2025 by Teachoo

Determine whether the critical points correspond to a maximum - CBSE Class 12 Sample Paper for 2026 Boards

part 2 - Question 37 (iii) (Choice A) - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 37 (iii) - Choice A Determine whether the critical points correspond to a maximum or a minimum profit by using the second derivative test.Now, P(𝑥) = −0.8𝑥^2+30𝑥−150 P’(𝑥) = −1.6𝑥+30 We need to differentiate again for second derivative test Differentiating P’(𝑥) w.r.t. x P’’(𝑥) = 𝑑(−1.6𝑥 + 30)/𝑑𝑥 P’’(𝒙) = −𝟏.𝟔 Since P’’(𝒙) < 0, x = 18.75 is the maxima So, we can write x = 18.75 is the critical point corresponding to maximum profit

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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