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Mathematics
Problem
Let
p
(
x
)
=
x
3
−
6
x
p(x)=x^{3}-6x
p
(
x
)
=
x
3
−
6
x
. Simplify the average rate of change of
p
p
p
on the interval
[
a
,
a
+
h
]
[a,a+h]
[
a
,
a
+
h
]
where
h
≠
0
h\neq 0
h
=
0
. a)
3
a
2
+
3
a
h
−
6
3a^{2}+3ah-6
3
a
2
+
3
ah
−
6
b)
3
a
2
+
3
a
h
+
h
2
−
6
h
3a^{2}+3ah+h^{2}-6h
3
a
2
+
3
ah
+
h
2
−
6
h
c)
3
a
2
+
3
a
h
+
h
2
−
6
3a^{2}+3ah+h^{2}-6
3
a
2
+
3
ah
+
h
2
−
6
d)
3
a
2
−
6
3a^{2}-6
3
a
2
−
6
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