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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I've attached the definition. Thank u.
![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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2F4d1899f7-1d10-4635-a8ae-07ce9772ba46%2F1tqb6r_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2F4d1899f7-1d10-4635-a8ae-07ce9772ba46%2Flenefil_processed.png&w=3840&q=75)
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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