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JEE Main 2015 Mathematics question

MathematicsApplication of DerivativesJEE Main 2015

If Rolle's theorem holds for the function , at the point , then is equal to

Answer: (3)

Solution

Rolle's theorem requires . Compute: and . Equating, , so and . The theorem asserts a point where vanishes, and we are told this occurs

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Question ID VK-115304