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Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
⋅
e
x
(
1
−
x
)
f(x) = x \cdot e^{x(1-x)}
f
(
x
)
=
x
⋅
e
x
(
1
−
x
)
, then
f
(
x
)
f(x)
f
(
x
)
is a. increasing on
[
−
1
2
,
1
]
\left[-\frac{1}{2}, 1\right]
[
−
2
1
,
1
]
b. decreasing on
R
\mathbb{R}
R
c. increasing on
R
\mathbb{R}
R
d. decreasing on
[
−
1
2
,
1
]
\left[-\frac{1}{2}, 1\right]
[
−
2
1
,
1
]
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