Mathematics Differential Calculus Differentiability

If \({\rm{f}}\left( {\rm{x}} \right) = {\rm{x}}\left( {\sqrt {\rm{x}} - \sqrt {{\rm{x}} + 1} } \right)\), then f(x) is

1
continuous but not differentiable at x = 0
2
differentiable at x = 0
3
not continuous at x = 0
4
None of the above

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