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Calculus Examples
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Calculus
Find Where Increasing/Decreasing h(x)=6x^5-15x^4+10x^3
h
(
x
)
=
6
x
5
−
15
x
4
+
10
x
3
h
(
x
)
=
6
x
5
-
15
x
4
+
10
x
3
Step 1
Graph
the
polynomial
in order to determine the
intervals
over which it is increasing or decreasing.
Increasing on:
(
−
∞
,
0
)
,
(
0
,
1
)
,
(
1
,
∞
)
(
-
∞
,
0
)
,
(
0
,
1
)
,
(
1
,
∞
)
Step 2
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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