Show that the function C(t) is strictly increasing in the interval (3, 4).
Practice Questions CBSE - Maths Class 12 (2023 Boards)
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Practice Questions CBSE - Maths Class 12 (2023 Boards)
Last updated at April 16, 2024 by Teachoo
Show that the function š¶(š”) is strictly increasing in the interval (3, 4).Given. Equates the derivative Cā²(š”) to 0 and factorises Cā²(š”) as 3(3 + t)(6 ā t). Writes that for t Ļµ (3, 4), 3>0, (3+š”)>0 and (6+š”)>0 Therefore, Cā²(š”)>0 Concludes that C(š”) is strictly increasing in the interval (3, 4).