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JEE Advanced Application of Derivatives questions

1 Mathematics questions on Application of Derivatives as asked in JEE Advanced, newest first.

  1. Let S be the set of all twice differentiable functions f from R to R such that (d^2f)/(dx^2)(x) > 0 for all x ∈ (-1,1). For f ∈ S, let X_f be the number of points x ∈ (-1,1) for which f(x) = x. Then which of the…

    2023

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