It is known that f(-2) = 12, f'(-2) = -9, f"(-2)=-7, f(3)(-2) = 6, and = 9. ƒ(4) (-2) = Find P(x), the fourth degree Taylor polynomial for f(x) centered at x = −2. (Start with the lowest degree to the highest degree terms.) P₁(x) -20 ☑+ -15x X + 7|2 21 2 × + 7x³ 3 ☑+ 3100 3 4 ☑

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 35E
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It is known that
f(-2) = 12,
f'(-2) = -9,
f"(-2)=-7,
f(3)(-2) = 6, and
= 9.
ƒ(4) (-2) =
Find P(x), the fourth degree Taylor polynomial for f(x) centered at x = −2.
(Start with the lowest degree to the highest degree terms.)
P₁(x)
-20
☑+ -15x
X +
7|2
21
2
× + 7x³
3
☑+
3100
3 4
☑
Transcribed Image Text:It is known that f(-2) = 12, f'(-2) = -9, f"(-2)=-7, f(3)(-2) = 6, and = 9. ƒ(4) (-2) = Find P(x), the fourth degree Taylor polynomial for f(x) centered at x = −2. (Start with the lowest degree to the highest degree terms.) P₁(x) -20 ☑+ -15x X + 7|2 21 2 × + 7x³ 3 ☑+ 3100 3 4 ☑
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