If \( f(x)=x(\sqrt{x}-\sqrt{x+1}) \), then indicate the correct alternative(s) P (1) \( f(x) \) ...

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If \( f(x)=x(\sqrt{x}-\sqrt{x+1}) \), then indicate the correct alternative(s)
P
(1) \( f(x) \) is continuous but not differentiable at \( x=0 \)
W
(2) \( f(x) \) is differentiable at \( x=0 \)
(3) \( f(x) \) is not differentiable at \( x=0 \)
(4) None of these
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