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.
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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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state what’s wrong with the argument and fully show how it would be corrected.
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