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If f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,...

If `f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,2x^(2)-3x+(3)/(2),1 le x le 2):}` then,

A

`f (x), f '(x)` are continous

B

`f'(x)` is continous, `f''(x)` is not continous

C

`f ''(x)` is continous

D

`f''(x)` is non differentiable

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A, B, D
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