Definition Do the following.: Let f(x) be a function defined in an open interval containing a. The derivative of the function f(x) at a, denoted by f' (a), is defined by S" (a) = Jim f(x) – f(a) (3.5) Use limit definition (Formula 3.5 page 220 in the TextBook) to determine whether the function is differentiable at x = 2. 1. f(x) = |x – 2|.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Definition
6. Do the following. :
Let f(x) be a function defined in an open interval containing a. The derivative of the function f(x) at a, denoted
by f' (a), is defined by
f' (a) = lim
f(x) – f(a)
(3.5)
X- a
Use limit definition (Formula 3.5 page 220 in the TextBook) to determine
whether the function is differentiable at x = 2.
1. f(x) = |x – 2|.
Transcribed Image Text:Definition 6. Do the following. : Let f(x) be a function defined in an open interval containing a. The derivative of the function f(x) at a, denoted by f' (a), is defined by f' (a) = lim f(x) – f(a) (3.5) X- a Use limit definition (Formula 3.5 page 220 in the TextBook) to determine whether the function is differentiable at x = 2. 1. f(x) = |x – 2|.
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