Answer:
see the explanation
Explanation:
Farmers and breeders allowed only the plants and animals with desirable characteristics to reproduce, causing the evolution of farm stock. This process is called artificial selection because people (instead of nature) select which organisms get to reproduce. This is evolution through artificial selection.
Answer:
F '( 1 ) = 84
Explanation:
We will differentiate
F
and wade our way slowly and methodically through finding the derivative of the right. First with the outermost function and chain rule:
F
(
x
)
=
f
(
x
f
(
x
f
(
x
)
)
)
F
'
(
x
)
=
f
'
(
x
f
(
x
f
(
x
)
)
)
(
d
d
x
x
f
(
x
f
(
x
)
)
)
Now applying the product rule:
F
'
(
x
)
=
f
'
(
x
f
(
x
f
(
x
)
)
)
[
f
(
x
f
(
x
)
)
+
x
(
d
d
x
f
(
x
f
(
x
)
)
)
]
Reapplying the chain rule:
F
'
(
x
)
=
f
'
(
x
f
(
x
f
(
x
)
)
)
[
f
(
x
f
(
x
)
)
+
x
(
f
'
(
x
f
(
x
)
)
+
(
d
d
x
x
f
(
x
)
)
)
]
F
'
(
x
)
=
f
'
(
x
f
(
x
f
(
x
)
)
)
[
f
(
x
f
(
x
)
)
+
x
f
'
(
x
f
(
x
)
)
+
x
(
d
d
x
x
f
(
x
)
)
]
Product rule once more:
F
'
(
x
)
=
f
'
(
x
f
(
x
f
(
x
)
)
)
[
f
(
x
f
(
x
)
)
+
x
f
'
(
x
f
(
x
)
)
+
x
(
f
(
x
)
+
x
f
'
(
x
)
)
]
We could simplify this a little more, but I'm dubious it would help. Evaluating at
x
=
1
:
F
'
(
1
)
=
f
'
(
f
(
f
(
1
)
)
)
[
f
(
f
(
1
)
)
+
f
'
(
f
(
1
)
)
+
1
(
f
(
1
)
+
f
'
(
1
)
)
]
F
'
(
1
)
=
f
'
(
f
(
2
)
)
[
f
(
2
)
+
f
'
(
2
)
+
2
+
4
]
F
'
(
1
)
=
f
'
(
3
)
(
3
+
5
+
2
+
4
)
F
'
(
1
)
=
6
(
14
)
F
'
(
1
)
=
84
Answer:
200d + 150 − 75d ≥ 1000
Explanation:
1.15 Quiz: Applications - Inequalities