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  3. 1 let e 0 a consider the function f r...

Question: 1 let e 0 a consider the function f r...

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1. Let e 0. (a) Consider the function f: R → R defined by Is f differentiable at 0? If so, what is its derivative f (0)? (b) Let |I-lI be a norm on R. We consider the function f:RR defined by Is f differentiable at 0? If so, what is its differential map Df (0)? 2. Let be an inner product on R. We denote by |IlIl the norm associated to this inner product. Consider the so-called Gaussian function expl2/2). T > Find the differential map, the gradient and the Hessian of f at a point zo ERT

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