Question: Let E:=C1 (0.1), R) endowed with a norm ||- ||. Let J: E+ R. We say that J is differentiable at fo E E if

Let E:=C1 (0.1), R) endowed with a norm ||- ||. Let

Let E:=C1 (0.1), R) endowed with a norm ||- ||. Let J: E+ R. We say that J is differentiable at fo E E if and only if there exists L: E+ R linear and bounded (i.e there exists a constant C> 0 such that LD 0 such that LD

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