Suppose g′(t)=(t−3)(t−6)(t−11)
g
′
(
t
)
=
(
t
−
3
)
(
t
−
6
)
(
t
−
11
)
. Find the largest value of A
A
such that the function g(t)
g
(
t
)
is increasing for all t
t
in the interval (3,A)
(
3
,
A
)
.