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 April 16, 2024 by Teachoo

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

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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