Jaimie, a MAT student, claims that "For a continuous function f(x), defined on an interval [a ,6] , we have d f(x) dæ = f(x), dx because integration and differentiation cancel each other." What is wrong with Jaimie's argument? How would you correct it? Show ALL your work, and answer FULLY.

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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state what’s wrong with the argument and fully show how it would be corrected.
Jaimie, a MAT
student, claims that
"For a continuous function f(x), defined on an interval [a ,b] , we have
d
f(x) dæ
= f(x),
dæ
because integration and differentiation cancel each other."
What is wrong with Jaimie's argument? How would you correct it?
Show ALL your work, and answer FULLY.
Transcribed Image Text:Jaimie, a MAT student, claims that "For a continuous function f(x), defined on an interval [a ,b] , we have d f(x) dæ = f(x), dæ because integration and differentiation cancel each other." What is wrong with Jaimie's argument? How would you correct it? Show ALL your work, and answer FULLY.
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