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Let f(x)=x(x-sqrt(x+1)). Then :...

Let `f(x)=x(x-sqrt(x+1))`. Then :

A

f is continuous but not differentiable at x =0

B

f is differentiable at x =0

C

f is differentiable but not continuous at x =0

D

f is not differentiable at x =0

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The correct Answer is:
B
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