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If f : R → R is a twice differentiable function such that f ′′ (x) > 0 for all x ∈ R and f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 = 2 1 , f(1) = 1, then

2 1 < f ′ (1) ≤ 1
f ′ (1) > 1
0 < f ′ (1) ≤ 2 1
f ′ (1) ≤ 0

Correct answer: f ′ (1) > 1

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