1.

Let g(x)=xf(x), where f(x)={{:(x^(2)sin.(1)/(x),":",x ne0),(0,":",x=0):}. At x=0,

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G is DIFFERENTIABLE but g' is not
g is differentiable while F is not differentiable
both f and g are NON differentiable
g is differentiable and g' is continuous

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