Question: 6. Let g be defined by [x sin , x = 0, g(x) = 0, x = 0. (a) Prove that g is differentiable

6. Let g be defined by [x sin , x = 0,

6. Let g be defined by [x sin , x = 0, g(x) = 0, x = 0. (a) Prove that g is differentiable at 0 and that g'(0) = 0. b) Show that g'(x) is not continuous at 0.

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