Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0) / h. f(x)=7−x Choose the correct answer below. A. The function f is differentiable at x=0 because both the left- and right-hand limits of the difference quotient exist at x=0. B. 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. C. The function f is differentiable at x=0 because the graph has a sharp corner at x=0. D. 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.
Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0) / h. f(x)=7−x Choose the correct answer below. A. The function f is differentiable at x=0 because both the left- and right-hand limits of the difference quotient exist at x=0. B. 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. C. The function f is differentiable at x=0 because the graph has a sharp corner at x=0. D. 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
Determine whether f is differentiable at
x=0
by considering
limh→0f(0+h)−f(0) / h.
f(x)=7−x
Choose the correct answer below.
The function f is differentiable at
x=0
because both the left- and right-hand limits of the difference quotient exist at
x=0.
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 differentiable at
x=0
because the graph has a sharp corner 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.Expert Solution
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