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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
Let f(x)f(x) be a second degree polynomial function such that f(−1)=f(1)f(-1)=f(1) and α,β,γ\alpha, \beta, \gamma are in A.P. Then, f′(α),f′(β),f′(γ)f^{\prime}(\alpha), f^{\prime}(\beta), f^{\prime}(\gamma) are in
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Correct option: A
AP
Option A (AP) is correct because the derivative of the quadratic function is linear, and since α,β,γ\alpha, \beta, \gamma are in AP, their corresponding derivatives will also be in AP.

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