mit used to find the derivative is g have a derivative at 3? Yes No

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Let g(x) =
Use Definition 3.1 to determine whether the function g has a derivative at a = 3. If applicable, find the derivative.
The limit used to find the derivative is
lim
Does g have a derivative at 3?
O Yes
O No
If you answered Yes above, enter the value of the derivative below.
If you answered No above, enter DNE.
g'(3) =
* Bymbolic formatting help
Transcribed Image Text:Let g(x) = Use Definition 3.1 to determine whether the function g has a derivative at a = 3. If applicable, find the derivative. The limit used to find the derivative is lim Does g have a derivative at 3? O Yes O No If you answered Yes above, enter the value of the derivative below. If you answered No above, enter DNE. g'(3) = * Bymbolic formatting help
Expert Solution
Step 1

Limit:

g(x)=|x-4|We need to chech L.H.D and R.H.D of the above function. at a=3L.H.D=x3limf(x)-f(3)x-3            =x3limx-4|x-4|            =-1

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