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

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Show that the function š¶(š‘”) is strictly increasing in the interval (3, 4).Given. Equates the derivative Cā€²(š‘”) to 0 and factorises Cā€²(š‘”) as 3(3 + t)(6 āˆ’ t). Writes that for t Ļµ (3, 4), 3>0, (3+š‘”)>0 and (6+š‘”)>0 Therefore, Cā€²(š‘”)>0 Concludes that C(š‘”) is strictly increasing in the interval (3, 4).

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.