Sketch the graphs of both f(x) = cos(æ) and g(x) = - sin(x) on the grid below (you may want to draw one as a dotted graph). Label which graph is which function. -2n -3n/2 -n -T/2 /2 3n/2 2n Now use your graphs to fill in the blanks below, which should give some evidence that d : (cos(x)) = – sin(x): dr When f(z) = cos(r) has a horizontal tangent line, g(x) = - sin(x) is . (positive/negative/zero). When f(r) = cos(r) is increasing, g(z) = - sin(x) is ative/zero). (positive/neg- When f(x) = cos(x) is decreasing, g(x) = – sin(x) is . ative/zero). (positive/neg-
Sketch the graphs of both f(x) = cos(æ) and g(x) = - sin(x) on the grid below (you may want to draw one as a dotted graph). Label which graph is which function. -2n -3n/2 -n -T/2 /2 3n/2 2n Now use your graphs to fill in the blanks below, which should give some evidence that d : (cos(x)) = – sin(x): dr When f(z) = cos(r) has a horizontal tangent line, g(x) = - sin(x) is . (positive/negative/zero). When f(r) = cos(r) is increasing, g(z) = - sin(x) is ative/zero). (positive/neg- When f(x) = cos(x) is decreasing, g(x) = – sin(x) is . ative/zero). (positive/neg-
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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I need help answering all parts of question #5. Please make sure to really explain and show steps so I understand how to do it.
Transcribed Image Text:(5) Sketch the graphs of both f(x) = cos(x) and g(x) = – sin(x) on the grid below (you may
want to draw one as a dotted graph). Label which graph is which function.
-2n -3n/2
-T/2
T/2
3π/2
2n
Now use your graphs to fill in the blanks below, which should give some evidence that
d
(cos(x)) = – sin(x):
dx
When f(x) = cos(x) has a horizontal tangent line, g(x) = - sin(x) is
(positive/negative/zero).
(positive/neg-
When f(x) = cos(x) is increasing, g(x) = – sin(x) is
ative/zero).
(positive/neg-
When f(x) = cos(x) is decreasing, g(x) = – sin(x) is
ative/zero).
Expert Solution
Step 1
We have
f(x)=cos(x) and g(x)=-sin(x)
Now we need to draw the graphs of f(x) and g(x) and answer the below.
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