MHT CET 2026 Mathematics question

Mathematics Application of Derivatives MHT CET 2026

Let be the differentiable function for all such that and . The maximum value of is …

(A)16
(B)20
(C)24Correct
(D)25

Answer: (C)

Solution

By Lagrange's mean value theorem on there is with . Since : . Equality holds for (so that

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Question ID VK-097639