Devin tried to find the derivative of
−
3
x
−
11
−3x−11minus, 3, x, minus, 11 using basic differentiation rules. here is his work:
d
d
x
(
−
3
x
−
11
)
step 1
=
d
d
x
(
−
3
x
)
−
d
d
x
(
11
)
step 2
=
d
d
x
(
−
3
x
)
−
0
step 3
=
−
3
d
d
x
(
x
)
step 4
=
−
3
⋅
1
step 5
=
−
3

step 1
step 2
step 3
step 4
step 5






=
dx
d

(−3x−11)
=
dx
d

(−3x)−
dx
d

(11)
=
dx
d

(−3x)−0
=−3
dx
d

(x)
=−3⋅1
=−3


at which step did devin make a mistake, if at all?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.