dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin, calculate the first few derivatives, d dx d² dx² x-1 d³ dx3 x-1 d4 dx4 X 1 and look for a pattern. You may use factorial notation: n! = n(n-1)...1. For example, 3! = 3 2 16.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find a general formula for den X
calculate the first few derivatives,
d
dx
X
by identifying a pattern in parts (a) through (c). To begin,
-1
d²
dx2
2
d³
dx3x`1
1
d4
-1
and look for a pattern. You may use factorial notation: n! = n. · (n − 1)...1.
For example, 3! = 3.2.1 = 6.
Transcribed Image Text:Find a general formula for den X calculate the first few derivatives, d dx X by identifying a pattern in parts (a) through (c). To begin, -1 d² dx2 2 d³ dx3x`1 1 d4 -1 and look for a pattern. You may use factorial notation: n! = n. · (n − 1)...1. For example, 3! = 3.2.1 = 6.
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