Given the graph of f (x), sketch a graph of ƒ' (x):

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...
Question
Given the graph of f (x), sketch a graph of ƒ' (x):
+
-4
+
-3
T
+
2
-
YA
8
7
6
5
4
3
2
1
0
-1+
-2+
-3
+
1
+
+
2 3
f(x)
+
+
4 5
+
6
7
Transcribed Image Text:Given the graph of f (x), sketch a graph of ƒ' (x): + -4 + -3 T + 2 - YA 8 7 6 5 4 3 2 1 0 -1+ -2+ -3 + 1 + + 2 3 f(x) + + 4 5 + 6 7
Expert Solution
Step 1: Key points

M a x i m a space a n d space m i n i m a space o f space f left parenthesis x right parenthesis space a r e space z e r o s space o f space f apostrophe left parenthesis x right parenthesis space
i f space space f left parenthesis x right parenthesis space space i s space i n c r e a sin g space left right double arrow space f apostrophe left parenthesis x right parenthesis greater than 0
i f space space f left parenthesis x right parenthesis space i s space d e c r e a sin g space left right double arrow f apostrophe left parenthesis x right parenthesis less than 0

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