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JEE Main 2026 Mathematics question

MathematicsApplication of DerivativesJEE Main 2026

Let f(x) be a polynomial of degree 5, and have extrema at x = 1 and x = −1. If , then f(2) − f(−2) is equal to:

Answer: (D)

Solution

The limit condition forces f(x) = c₃x³ + c₄x⁴ + c₅x⁵ with c₃ = −5. Extrema exactly at ±1 (with x = 0 a non-extremum) require

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Question ID VK-015127