JEE Main 2012 Mathematics question

MathematicsApplication of DerivativesJEE Main 2012

Let a, b ∈ R be such that the function f given by , x ≠ 0 has extreme values at x = −1 and x = 2. Statement 1: f has local maximum at x = −1 and at x = 2. Statement 2: and

Answer: (2)

Solution

. f′(−1) = 0: ; f′(2) = 0: . Solving: , — Statement 2

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Question ID VK-103795