If f(x)=x(sqrtx-sqrt(x+1)), then :...

If f(x)=`x(sqrtx-sqrt(x+1))`, then :

A

f(x) is continuous but not differentiable at x = 0

B

f(x) is not differentiable at x=0

C

f(x) is differentiable at x=0

D

none of the above

Verified by Experts

The correct Answer is:

C

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