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Mathematics
Problem
For the two functions below: a. (a) Differentiate
F
1
(
x
)
=
x
3
3
−
4
x
F_1(x)=\dfrac{x^{3}}{3}-4x
F
1
(
x
)
=
3
x
3
−
4
x
and
F
2
(
x
)
=
x
3
3
−
4
x
+
7
F_2(x)=\dfrac{x^{3}}{3}-4x+7
F
2
(
x
)
=
3
x
3
−
4
x
+
7
and write the common result. b. (b) Using your answer in (a), state the relationship between
F
1
(
x
)
F_1(x)
F
1
(
x
)
and
F
2
(
x
)
F_2(x)
F
2
(
x
)
.
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