Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given function f(x) = x³ – x2 - 4 using the limit of its difference quotient; lim (*+*)-f(x), where h-0 h h = Ax. Which of the following step(s) is/are the error(s) in the solution? [(x+h)3-(x+h)2-4]-x3-x2-4 lim dy i. dx h-0 h dy (x3 +3hx2 +3h2x+h)-(x²+2hx+h2)-4-x3- lim dx h>0 h (3x2-2x)h+(3x+1)h? +h3 lim h0 dy ii. dx h dy lim [(3x2 – 2x) + (3x + 1)h + h²] dx h-0 dy iii. 3x2 – 2x dx || :=

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
a. ii only
b. none
c. i and ii only
d. i only
Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given
function f(x) = x³ – x2 – 4 using the limit of its difference quotient; lim (*+*)-f(x),
where
h
h = Ax.
Which of the following step(s) is/are the error(s) in the solution?
[(x+h)3-(x+h)2-4]-x3-x2-4
lim
dy
i.
dx
h-0
h
dy
(x3+3hx2 +3h2x+h)-(x²+2hx+h2)-4-x3-
lim
dx
h-0
h
(3x2-2x)h+(3x+1)h? +h3
lim
h0
dy
ii.
dx
h
dy
lim [(3x? – 2x) + (3x + 1)h + h²]
dx
h>0
dy
iii.
3x2 – 2x
dx
:=
Transcribed Image Text:Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given function f(x) = x³ – x2 – 4 using the limit of its difference quotient; lim (*+*)-f(x), where h h = Ax. Which of the following step(s) is/are the error(s) in the solution? [(x+h)3-(x+h)2-4]-x3-x2-4 lim dy i. dx h-0 h dy (x3+3hx2 +3h2x+h)-(x²+2hx+h2)-4-x3- lim dx h-0 h (3x2-2x)h+(3x+1)h? +h3 lim h0 dy ii. dx h dy lim [(3x? – 2x) + (3x + 1)h + h²] dx h>0 dy iii. 3x2 – 2x dx :=
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