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Let g from R to R is a differentiable function, g(0)=1, g’(x)>=g(x) for all x>0 and...

Let g from R to R is a differentiable function, g(0)=1, g’(x)>=g(x) for all x>0 and g’(x)=<g(x) for all x<0. Proof that g(x)>=exp(x) for all x belong to R.

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