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JEE Main Math Class 12 Continuity and Differentiability Part 1 Questions

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For all twice differentiable functions f:R→R, with f(0)=f(1)=f′(0)=0

[Sep. 06, 2020 (II)]

f "(x) ≠ 0 at every point x ∈ (0,1)
f "(x) = 0, for some x ∈ (0,1)
f "(0) = 0
f "(x) = 0, at every point x ∈ (0,1)

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