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Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
(
x
−
x
+
1
)
f(x) = x(\sqrt{x} - \sqrt{x+1})
f
(
x
)
=
x
(
x
−
x
+
1
)
, then (a)
f
(
x
)
f(x)
f
(
x
)
is continuous but non-differentiable at
x
=
0
x = 0
x
=
0
(b)
f
(
x
)
f(x)
f
(
x
)
is differentiable at
x
=
0
x = 0
x
=
0
(c)
f
(
x
)
f(x)
f
(
x
)
is not differentiable at
x
=
0
x = 0
x
=
0
(d) None of these
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