To approximate (1-1) 1/4 Lel- of (x) = x ²4 So, Let at a second order approximale-. for of (*) centered at a is 105 2 f(x) ~ f(a) + f(a) (u-a) + fill(a) (u-a) ² 21 лек azl f(~) ~ f (1) + f '(1) ('m-1) + f "(₁) (x-1) ² 21 5-3/4 (1-1). +. (-3) 15 7 / 4 (^-^)². 2 = 1 + 4 (1) ³/4 2 = 1 + + (x-1) - 323²₂ (2-1) ² कुर f (1-1) = 1.- + -1 (1-1-1)-2 (1-1-1) ² 32 21+ 1X0.1 3 x.0.01 470. 32 10240625 f'(x) = 1/4 2 ³/4 e f"(x) = -7/2274]
To approximate (1-1) 1/4 Lel- of (x) = x ²4 So, Let at a second order approximale-. for of (*) centered at a is 105 2 f(x) ~ f(a) + f(a) (u-a) + fill(a) (u-a) ² 21 лек azl f(~) ~ f (1) + f '(1) ('m-1) + f "(₁) (x-1) ² 21 5-3/4 (1-1). +. (-3) 15 7 / 4 (^-^)². 2 = 1 + 4 (1) ³/4 2 = 1 + + (x-1) - 323²₂ (2-1) ² कुर f (1-1) = 1.- + -1 (1-1-1)-2 (1-1-1) ² 32 21+ 1X0.1 3 x.0.01 470. 32 10240625 f'(x) = 1/4 2 ³/4 e f"(x) = -7/2274]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
Related questions
Question
100%
my question is for the highlighted parts, can you explain how you got the exponent -3/4 and -7/4?
![To approximate (1-1) 1/4
Lel- of (x) = x ²4
So, Let at
a second order approximale-.
for of (*) centered at a is
105
2
f(x) ~ f(a) + f(a) (u-a) + fill(a) (u-a) ²
21
лек azl
f(~) ~ f (1) + f '(1) ('m-1) + f "(₁) (x-1) ²
21
5-3/4 (1-1). +. (-3) 15 7 / 4 (^-^)².
2
= 1 + 4 (1) ³/4
2
= 1 + + (x-1) - 323²₂ (2-1) ²
कुर
f (1-1) = 1.- + -1 (1-1-1)-2 (1-1-1) ²
32
21+ 1X0.1 3 x.0.01
470.
32
10240625
f'(x) = 1/4 2 ³/4 e
f"(x) = -7/2274]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba7d748a-252c-474b-931e-93acb5db0c03%2F9e11d115-62e0-457f-b80c-3b851db11388%2F10ieupb_processed.png&w=3840&q=75)
Transcribed Image Text:To approximate (1-1) 1/4
Lel- of (x) = x ²4
So, Let at
a second order approximale-.
for of (*) centered at a is
105
2
f(x) ~ f(a) + f(a) (u-a) + fill(a) (u-a) ²
21
лек azl
f(~) ~ f (1) + f '(1) ('m-1) + f "(₁) (x-1) ²
21
5-3/4 (1-1). +. (-3) 15 7 / 4 (^-^)².
2
= 1 + 4 (1) ³/4
2
= 1 + + (x-1) - 323²₂ (2-1) ²
कुर
f (1-1) = 1.- + -1 (1-1-1)-2 (1-1-1) ²
32
21+ 1X0.1 3 x.0.01
470.
32
10240625
f'(x) = 1/4 2 ³/4 e
f"(x) = -7/2274]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,