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If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1)...

If `f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):}`, where [] denotes the greatest integer function, then

A

f(x) is continuous for all `x in [0, 2)`

B

f(x) is differentiable for all `x in [0, 2) - {1}`

C

f(X) is differentiable for all `x in [0, 2)-{(1)/(2),1}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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