Derivatives of Polynomials
d
d
x
(
4
x
6
-
3
x
5
-
x
4
+
8
x
3
+
7
x
2
+
5
x
-
10
)
=
d
d
x
(
4
x
6
)
+
d
d
x
(
-3
x
5
)
+
d
d
x
(
-
x
4
)
+
d
d
x
(
8
x
3
)
+
d
d
x
(
7
x
2
)
+
d
d
x
(
5
x
)
+
d
d
x
(
-10
)
=
4
d
d
x
(
x
6
)
-
3
d
d
x
(
x
5
)
-
d
d
x
(
x
4
)
+
8
d
d
x
(
x
3
)
+
7
d
d
x
(
x
2
)
+
5
d
d
x
(
x
)
-
10
d
d
x
(
1
)
=
4
(
6
x
5
)
-
3
(
5
x
4
)
-
(
4
x
3
)
+
8
(
3
x
2
)
+
7
(
2
x
)
+
5
(
1
)
-
10
(
0
)
=
24
x
5
-
15
x
4
-
4
x
3
+
24
x
2
+
14
x
+
5
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Some steps shown in the examples may not be necessary.
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me
.
Copyright © Dayal D. Purohit, Ph.D.(Mathematics)