The right-sided and left-sided derivatives of a function at a point a are given by Ay 10- f(a + h) - f(a) f(a + h)- f(a) f, '(a) = lim h 0+ limits exist. The derivative f'(a) exists if and only if f. '(a) =f_ '(a). Complete parts (a) through (c) using f(x) = |2x+2| and a = - 1. and f- (a) = lim respectively, provided these 8- h 0- 6- %3D 4- a. Sketch the function. Use the graphing tool to graph the function. 2- Click to 10 8. 2. -2 4 -4 -10 -8 -6 enlarge graph -2- -4 -6 in
The right-sided and left-sided derivatives of a function at a point a are given by Ay 10- f(a + h) - f(a) f(a + h)- f(a) f, '(a) = lim h 0+ limits exist. The derivative f'(a) exists if and only if f. '(a) =f_ '(a). Complete parts (a) through (c) using f(x) = |2x+2| and a = - 1. and f- (a) = lim respectively, provided these 8- h 0- 6- %3D 4- a. Sketch the function. Use the graphing tool to graph the function. 2- Click to 10 8. 2. -2 4 -4 -10 -8 -6 enlarge graph -2- -4 -6 in
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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these are notes from class, i was absent

Transcribed Image Text:The right-sided and left-sided derivatives of a function at a point a are given by
Ay
10-
f(a + h) - f(a)
f(a + h)- f(a)
f, '(a) = lim
h 0+
limits exist. The derivative f'(a) exists if and only if f. '(a) =f_ '(a). Complete parts (a) through
(c) using f(x) = |2x+2| and a = - 1.
and f- (a) = lim
respectively, provided these
8-
h 0-
6-
%3D
4-
a. Sketch the function. Use the graphing tool to graph the function.
2-
Click to
10
8.
2.
-2
4
-4
-10
-8
-6
enlarge
graph
-2-
-4
-6
in
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