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...
icon
Related questions
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning