Determine if the following piecewise defined function is differentiable at x = 0. Зх - 3, X20 f(x) =. X + 5х - 3, x<0 What is the right-hand derivative of the given function? f(0 + h) – f(0) lim (Type an integer or a simplified fraction.) h→0+ What is the left-hand derivative of the given function? f(0 + h) – f(0) lim (Type an integer or a simplified fraction.) %3D h→0- Is the given function differentiable at x = 0? Yes No

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Determine if the following piecewise defined function is differentiable at x = 0.
Зх - 3,
X20
f(x) =.
X + 5х - 3,
x<0
What is the right-hand derivative of the given function?
f(0 + h) – f(0)
lim
(Type an integer or a simplified fraction.)
h→0+
What is the left-hand derivative of the given function?
f(0 + h) – f(0)
lim
(Type an integer or a simplified fraction.)
%3D
h→0-
Is the given function differentiable at x = 0?
Yes
No
Transcribed Image Text:Determine if the following piecewise defined function is differentiable at x = 0. Зх - 3, X20 f(x) =. X + 5х - 3, x<0 What is the right-hand derivative of the given function? f(0 + h) – f(0) lim (Type an integer or a simplified fraction.) h→0+ What is the left-hand derivative of the given function? f(0 + h) – f(0) lim (Type an integer or a simplified fraction.) %3D h→0- Is the given function differentiable at x = 0? Yes No
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