Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0)h. f(x)=18−x Choose the correct answer below. A. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient do not exist at x=0.
Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0)h. f(x)=18−x Choose the correct answer below. A. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient do not exist at x=0.
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...
Related questions
Question
Determine whether f is differentiable at
x=0
by considering
limh→0f(0+h)−f(0)h.
f(x)=18−x
Choose the correct answer below.
The function f is not differentiable at
x=0
because the left- and right-hand limits of the difference quotient do not exist at
x=0.
The function f is not differentiable at
x=0
because the left- and right-hand limits of the difference quotient exist at
x=0,
but are not equal.The function f is differentiable at
x=0
because the graph has a sharp corner at
x=0.
The function f is differentiable at
x=0
because both the left- and right-hand limits of the difference quotient exist at
x=0.
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