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Problems
Mathematics
Mathematics
Problem
Statement I
f
(
x
)
=
∣
x
∣
sin
x
f(x) = |x| \sin x
f
(
x
)
=
∣
x
∣
sin
x
is differentiable at
x
=
0
x = 0
x
=
0
.
Statement II
If
g
(
x
)
g(x)
g
(
x
)
is not differentiable at
x
=
a
x = a
x
=
a
and
h
(
x
)
h(x)
h
(
x
)
is differentiable at
x
=
a
x = a
x
=
a
, then
g
(
x
)
⋅
h
(
x
)
g(x) \cdot h(x)
g
(
x
)
⋅
h
(
x
)
cannot be differentiable at
x
=
a
x = a
x
=
a
.
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