If \[f(x)=x(\sqrt{x}-\sqrt{x+1}),\] then [IIT 1985]

1.	If \[f(x)=x(\sqrt{x}-\sqrt{x+1}),\] then [IIT 1985]
A.	\[f(x)\] is continuous but non- differentiable at \[x=0\]
B.	\[f(x)\] is differentiable at \[x=0\]
C.	\[f(x)\] is not differentiable at \[x=0\]
D.	None of these
Answer» D. None of these

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If \[f(x)=x(\sqrt{x}-\sqrt{x+1}),\] then [IIT 1985]

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