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Mathematics
Problem
Suppose
s
s
s
is twice differentiable with
s
′
(
x
)
=
e
x
(
x
−
4
)
s'(x)=e^{x}(x-4)
s
′
(
x
)
=
e
x
(
x
−
4
)
and
s
′
′
(
x
)
=
e
x
(
x
−
3
)
s''(x)=e^{x}(x-3)
s
′′
(
x
)
=
e
x
(
x
−
3
)
. For which of the following intervals is
s
s
s
decreasing and concave up? a)
(
4
,
∞
)
(4,\infty)
(
4
,
∞
)
b)
(
3
,
4
)
(3,4)
(
3
,
4
)
c)
(
−
∞
,
3
)
(-\infty,3)
(
−
∞
,
3
)
d) There is no interval on which both conditions hold.
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