Identify what type of differentiation formulas are the following functions definitions and write the Taylor's series terms that you need in order to derive them. Taylor Series: f(x+h) =f(x)+h!'(x). +12f"(x) , ,af"(x) 1! 2! 3! dfdx(f.x)» f(x+0.0001) – f (x – 0.0001) 0.0002 (a) Туре: (b) dfdx(f,x)» (x +0.0001) – f (x) 0.0001 Туре: (c) f(x)- f (x – 0.0001) dfdx(f,x) Туре: 0.0001
Identify what type of differentiation formulas are the following functions definitions and write the Taylor's series terms that you need in order to derive them. Taylor Series: f(x+h) =f(x)+h!'(x). +12f"(x) , ,af"(x) 1! 2! 3! dfdx(f.x)» f(x+0.0001) – f (x – 0.0001) 0.0002 (a) Туре: (b) dfdx(f,x)» (x +0.0001) – f (x) 0.0001 Туре: (c) f(x)- f (x – 0.0001) dfdx(f,x) Туре: 0.0001
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Identify what type of differentiation formulas are the following functions definitions
and write the Taylor's series terms that you need in order to derive them.
Taylor Series:
+1?f"(x) 13f"(x)
1!
2!
f(x+h) = f(x)+h!
f'(x)
3!
f(x+0.0001) - f(x – 0.0001)
(a)
dfdx(f,x)=
Туре:
0.0002
(b)
dfdx(f,x)» !(*+0.0001) – f(x)
0.0001
Туре:
(c)
dfdx(f,x)» f(x)–-f(x-0.0001)
0.0001
Туре:
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