Let g(x) = |x − 2|Use Definition 3.1 to determine whether the function g has a derivative at a = 3. If applicable, find the derivative. Definition 3.1 states f'(x)=lim (f(t)-f(x))/(t-x) t--xThe limit used to find the derivative is lim x→ ? Does g have a derivative at 3? Yes or No ? If you answered Yes above, enter the value of the derivative below.If you answered No above, enter DNE. g'(3) =

Let g(x) = |x − 2|Use Definition 3.1 to determine whether the function g has a derivative at a = 3. If applicable, find the derivative. Definition 3.1 states f'(x)=lim (f(t)-f(x))/(t-x) t--xThe limit used to find the derivative is lim x→ ? Does g have a derivative at 3? Yes or No ? If you answered Yes above, enter the value of the derivative below.If you answered No above, enter DNE. g'(3) =

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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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Let g(x) = |x − 2|

Use Definition 3.1 to determine whether the function g has a derivative at a = 3. If applicable, find the derivative.

Definition 3.1 states f'(x)=lim (f(t)-f(x))/(t-x)
t--x
The limit used to find the derivative is

lim x→ ?

Does g have a derivative at 3?

Yes or No ?

If you answered Yes above, enter the value of the derivative below.
If you answered No above, enter DNE.

g'(3) =

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