Determine the value of the third derivative of f at x = 1 when f(x) e(5-2x) 1. f"(1) 2. f"(1) 3. f" (1) 4. f(1) 5. f"(1) = = = = = e³ -8 e³ 8 3! = Fe³ 3! e³ -3!8 e³
Determine the value of the third derivative of f at x = 1 when f(x) e(5-2x) 1. f"(1) 2. f"(1) 3. f" (1) 4. f(1) 5. f"(1) = = = = = e³ -8 e³ 8 3! = Fe³ 3! e³ -3!8 e³
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![(part 1 of 4)
Determine the value of the third derivative
of f at x = 1 when
f(x)
1. f"(1)
2. f" (1)
3. f(1)
4. f"(1)
5. f""(1)
1. T3 =
=e
3. T3 =
=
= e
4. T3 e
=
e³
-1
-8 e³
(part 2 of 4)
Determine the degree three Taylor polyno-
mial centered at x = 1 for f when
3-4x
f(x)
8
3!
3! e³
-3!8 e³
=
2. T3 =e7 (1 + 4(x − 1)
e(5-2x)
(1 - 4(x - 1)
32
+ 8(x − 1)² — 33² (x − 1)²³)
¹(1.
- 8(x − 1)² +
1-4x+8x²
1+ 4x − 8x² +
5. T3 =14(x − 1)
32
3²(x - 1)³)
32-2³)
(3²-2-2)
+ 8(x − 1)² –
32
3
(x - 1)³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa388f64b-8c80-467c-8e5c-c9c3b22fc429%2Fd3675a7d-356b-497d-9958-91c6fdbee564%2F5uyx67q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(part 1 of 4)
Determine the value of the third derivative
of f at x = 1 when
f(x)
1. f"(1)
2. f" (1)
3. f(1)
4. f"(1)
5. f""(1)
1. T3 =
=e
3. T3 =
=
= e
4. T3 e
=
e³
-1
-8 e³
(part 2 of 4)
Determine the degree three Taylor polyno-
mial centered at x = 1 for f when
3-4x
f(x)
8
3!
3! e³
-3!8 e³
=
2. T3 =e7 (1 + 4(x − 1)
e(5-2x)
(1 - 4(x - 1)
32
+ 8(x − 1)² — 33² (x − 1)²³)
¹(1.
- 8(x − 1)² +
1-4x+8x²
1+ 4x − 8x² +
5. T3 =14(x − 1)
32
3²(x - 1)³)
32-2³)
(3²-2-2)
+ 8(x − 1)² –
32
3
(x - 1)³
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