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JEE Main 2015 Mathematics question

MathematicsApplication of DerivativesJEE Main 2015

Let f(x) be a polynomial of degree four and having its extreme values at x = 1 and x = 2. If , then f(2) is equal to

Answer: (4)

Solution

The limit forces , so with no constant or linear term. Then , and the extreme values at

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Question ID VK-115215