Consider the function f (x) = |3x – 6|.- o How is differentiability related to limits?o Rewrite f (x) as a piecewise function.o Use the limit definition of the derivative andthe piecewise representation of f (x) toconfirm your observations aboutdifferentiability from the graph. Be sure totell me the story of how you choose whatlimits you do and why!

Given problem:- f(x) =|3x-6| To find:- How is differentiability related to limits Rewrite f (x) as…

Answered: Consider the function f (x) = 3x – 6|.…

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 28PT

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Expert Solution

Step 1

Given problem:-

f(x) =|3x-6|

To find:-

How is differentiability related to limits
Rewrite f (x) as a piecewise function.
Use the limit definition of the derivative and the piecewise representation of f (x) to confirm your observations about differentiability from the graph. Be sure to tell me the story of how you choose what limits you do and why!