The function defined by x2 if r <0 f(2) = {" if x > 0 is continuous at a = 0. Determine the left- and right-hand derivatives of the function. Is the given function is differentiable at x = 0? %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function defined by
x2 if r <0
f(2) = {"
if x > 0
is continuous at a = 0.
Determine the left- and right-hand derivatives of the function.
Is the given function is differentiable at x = 0?
%3D
Transcribed Image Text:The function defined by x2 if r <0 f(2) = {" if x > 0 is continuous at a = 0. Determine the left- and right-hand derivatives of the function. Is the given function is differentiable at x = 0? %3D
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