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MHT CET 2025 Mathematics question

MathematicsApplication of DerivativesMHT CET 2025

Let f be a function which is continuous and differentiable for all x. If f(1) = 1 and f'(x) 5 for all x in [1, 5], then the maximum value of f(5) is

Answer: (D)

Solution

By Lagrange's Mean Value Theorem on there is with . Since , , so . The maximum,

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Question ID VK-102109