Write a degree 4 Maclaurin Polynomial for f(x) = 4e¯0". %3D Let f(x) = 4e-6z Find the function value and first 4 derivatives of f (x) at x = 0 f (x) = 4e-5z f (0) = 4 f' (x) = -20e-5z f' (0) = -20 f" (x) = 100e-5z f" (0) = 100 f" (x) = -500e-5z fm (0) = -500 f(4) (x) = 2500e-5z f(4) (0) = 2500 %3D Use the above values to write a degree 4 Maclaurin Polynomial for f(x) = 4e-5x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Write a degree 4 Maclaurin Polynomial for f(x) = 4e b".
-5x
%3D
Let f(x) = 4e-b Find the function value and first 4 derivatives of f (x) at x = 0
f (x) = 4e-5z
f (0) = 4
f' (x) = -20e-52
f' (0) = -20
f" (x) = 100e-5æ
f" (0) = 100
|3D
f" (x) = -500e-5z
fm (0) = -500
f(4) (x) = 2500e-5z
f(4) (0) = 2500
%3D
Use the above values to write a degree 4 Maclaurin Polynomial for f(x) = 4e-5x
Transcribed Image Text:Write a degree 4 Maclaurin Polynomial for f(x) = 4e b". -5x %3D Let f(x) = 4e-b Find the function value and first 4 derivatives of f (x) at x = 0 f (x) = 4e-5z f (0) = 4 f' (x) = -20e-52 f' (0) = -20 f" (x) = 100e-5æ f" (0) = 100 |3D f" (x) = -500e-5z fm (0) = -500 f(4) (x) = 2500e-5z f(4) (0) = 2500 %3D Use the above values to write a degree 4 Maclaurin Polynomial for f(x) = 4e-5x
Use the above values to write a degree 4 Maclaurin Polynomial for f (x) = 4e¯
-5x
%3D
P4(x) =
12
10
19
18
5.
49
3.
-1
Transcribed Image Text:Use the above values to write a degree 4 Maclaurin Polynomial for f (x) = 4e¯ -5x %3D P4(x) = 12 10 19 18 5. 49 3. -1
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