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Mathematics
Problem
Consider the function
g
(
t
)
=
e
t
(
t
2
−
4
t
)
g(t)=e^{t}(t^{2}-4t)
g
(
t
)
=
e
t
(
t
2
−
4
t
)
. At which of the following
t
t
t
-values does
g
g
g
attain a relative maximum? a)
t
=
1
+
5
t=1+\sqrt{5}
t
=
1
+
5
b) Both
t
=
1
−
5
t=1-\sqrt{5}
t
=
1
−
5
and
t
=
1
+
5
t=1+\sqrt{5}
t
=
1
+
5
c)
t
=
1
−
5
t=1-\sqrt{5}
t
=
1
−
5
d)
t
=
0
t=0
t
=
0
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