If f is a differentiable function, then f'(a) is given by which of the following without further restriction on f? A. lim h→0 f(a+h) − f(a), h f(x) - f(a) B. lim " xa x - a f(x + h) − f(x) - C. lim xa h 1. A and B only 2. A and C only 3. A only 4. B only 5. A, B, and C

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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If f is a differentiable function, then f'(a)
is given by which of the following without
further restriction on f?
A.
lim
h→0
f(a+h) − f(a),
h
f(x) - f(a)
B.
lim
"
xa
x - a
f(x + h) − f(x)
-
C.
lim
xa
h
1. A and B only
2. A and C only
3. A only
4. B only
5. A, B, and C
Transcribed Image Text:If f is a differentiable function, then f'(a) is given by which of the following without further restriction on f? A. lim h→0 f(a+h) − f(a), h f(x) - f(a) B. lim " xa x - a f(x + h) − f(x) - C. lim xa h 1. A and B only 2. A and C only 3. A only 4. B only 5. A, B, and C
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