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 August 14, 2026 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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