1) Suppose f (a, b) R is continuous. The Carathéodory Theorem says that f(x) is differentiable at -cE (a, b) if 3 (a, b)-R which is continuous, and so that, (a) Show, for any constant a and conti...

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f(x)-f(c) (x-c) (0) ^ Dt-c 0 jsdj.ff er en tiåble at 0(ギ γ_C つ b) (x -C

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