The maximum value of the function f(x)=3x^ 3 -18x^ 2 +27x-40 on the set S=[x R/x^ 2 +30 11x] is

MHT CET 2022 Mathematics question

The maximum value of the function on the set is

Answer: (A)

First find : . Now , which is positive for all , so is increasing on and attains its maximum at

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Question ID VK-094175