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Let f(x)=|x| . Then, for all x f is con...

Let `f(x)=|x|` . Then, for all `x` `f` is continuous (b) `f` is differentiable for some `x` (c) `f\ '` is continuous (d) `f\ "` is continuous

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We know that `f(x)=|x|` is continuous everywhere but not differentiable at `x=0`
`f'(x)=x/|x|`
`f'(x)` is not continuous at `x=0`
`f''(x)=0`
Hence, option (a) is correct.
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