2. For which values of a is f(x) differentiable on R?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Let
xª sin , x+ 0;
f(r) = {0,
x + 0;
I = 0,
where a > 0 is a parameter.
1. For which values of a is f(x) continuous on R?
2. For which values of a is f(x) differentiable on R?
3. For which values of a is the derivative of f(x) continuous on R?
Transcribed Image Text:Let xª sin , x+ 0; f(r) = {0, x + 0; I = 0, where a > 0 is a parameter. 1. For which values of a is f(x) continuous on R? 2. For which values of a is f(x) differentiable on R? 3. For which values of a is the derivative of f(x) continuous on R?
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