olymmath

Putnam 1955 B2

  • Session B
  1. Suppose that ff is a function with two continuous derivatives and f(0)=f(0)= 0 . Prove that the function gg, defined by g(0)=f′(0),g(x)=f(x)′xg(0)=f^{\prime}(0), g(x)=f(x)^{\prime} x for x≠x \neq 0 , has a continuous derivative.

Dataset text PutnamGAP. Quoted with source.

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