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the domain be the positive real numbers. (a) f(x) :

the domain be the positive real numbers. (a) f(x) :

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the definition of the derivative to find the derivatives of the following functions. For each, let the domain be the positive real numbers. 1 (a) f(x) =
Transcribed Image Text:Use the definition of the derivative to find the derivatives of the following functions. For each, let the domain be the positive real numbers. 1 (a) f(x) =
DEFINITION 6.1. Let I be an interval, f : I → R, and c E I. We say f is differentiable at c if f (x) – f(c) lim х — с exists and is finite. If C is the collection of points at which f is differentiable, then the derivative of f is the function f' : C →R given by f(x) – f(c) f'(c) = lim с — с
Transcribed Image Text:DEFINITION 6.1. Let I be an interval, f : I → R, and c E I. We say f is differentiable at c if f (x) – f(c) lim х — с exists and is finite. If C is the collection of points at which f is differentiable, then the derivative of f is the function f' : C →R given by f(x) – f(c) f'(c) = lim с — с
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