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JEE Main 2015 Mathematics question

MathematicsApplication of DerivativesJEE Main 2015

Let and be the minimum and the maximum values of the function in , respectively, then the ordered pair is equal to:

Answer: (1)

Solution

Evaluate at the endpoints first. At : . At : . Now observe that on the function is decreasing: by the subadditivity of for we have , so

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Question ID VK-115394