[微分]

[ahongyeh (小葉子)]

         ┌  2   1
         │ X sin─  ，X≠0
Let f(x)=│      X
         │   0      ，X＝0
         └

(1)  Is f(x) differentiable at x=0 ?
(2)  Is f'(x) continuous at x=0 ?

Ans: (1)可微，f'(0)=0
     (2)不連續，(∵ lim f'(x)不存在)
                    X→0

(上面是課本答案...)

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