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VMO 1962 Problem 2

    Let f(x)=(1+x)⋅(2+x2)⋅(3+x3)3f(x) = (1 + x)\cdot\sqrt{(2 + x^2)}\cdot\sqrt[3]{(3 + x^3)} . Determine f′(1)f'(1) .

    Dataset text AI-MO AoPS. Quoted with source.

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