Question 37 (ii) - Choice 1 - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 2, 2026 by Teachoo

Show that the function C(t) is strictly increasing in the interval (3, 4).

Show that the function C(t) is strictly increasing in interval (3, 4). - Practice Questions CBSE - Maths Class 12 (2023 Boards)

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Transcript

Show that the function 𝐶(𝑡) is strictly increasing in the interval (3, 4).Given. Equates the derivative C′(𝑡) to 0 and factorises C′(𝑡) as 3(3 + t)(6 − t). Writes that for t ϵ (3, 4), 3>0, (3+𝑡)>0 and (6+𝑡)>0 Therefore, C′(𝑡)>0 Concludes that C(𝑡) is strictly increasing in the interval (3, 4).

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