WOLFRAM|DEMONSTRATIONS PROJECT

Multiple Derivatives

​
f(x) =
10
x
+
9
x
+
8
x
+
7
x
+
6
x
+
5
x
+
4
x
+
3
x
+
2
x
+x
x-value
x
order of derivative
f(x) =
10
x
+
9
x
+
8
x
+
7
x
+
6
x
+
5
x
+
4
x
+
3
x
+
2
x
+x
′
f
(x) =
10
9
x
+9
8
x
+8
7
x
+7
6
x
+6
5
x
+5
4
x
+4
3
x
+3
2
x
+2x+1
′′
f
(x) =
90
8
x
+72
7
x
+56
6
x
+42
5
x
+30
4
x
+20
3
x
+12
2
x
+6x+2
′′′
f
(x) =
720
7
x
+504
6
x
+336
5
x
+210
4
x
+120
3
x
+60
2
x
+24x+6
(4)
f
(x) =
5040
6
x
+3024
5
x
+1680
4
x
+840
3
x
+360
2
x
+120x+24
(5)
f
(x) =
30240
5
x
+15120
4
x
+6720
3
x
+2520
2
x
+720x+120
Choose a function and take up to 10 derivatives. Evaluate the derivatives at a variety of points.