Sketch a graph of f'(x) Hint : let us say the functions I have drawn are 3 on (-o, –1]; x + on [-1, 1) U (1,2); and sin(27 x) – 2 on (2, 0). 2 x+3 Note:l do not expect you to know the derivative of sin(2nx) – 2. As such, I will just comment that the greatest slope of a tangent line on that function is 27T (that should be sufficient for a good sketch). If you've learned about derivatives before or have read ahead, you may recall I(sin(2rx)|' 2Tcos(27x) - this is an application of the chain rule and trigonometric differentiation!
Sketch a graph of f'(x) Hint : let us say the functions I have drawn are 3 on (-o, –1]; x + on [-1, 1) U (1,2); and sin(27 x) – 2 on (2, 0). 2 x+3 Note:l do not expect you to know the derivative of sin(2nx) – 2. As such, I will just comment that the greatest slope of a tangent line on that function is 27T (that should be sufficient for a good sketch). If you've learned about derivatives before or have read ahead, you may recall I(sin(2rx)|' 2Tcos(27x) - this is an application of the chain rule and trigonometric differentiation!
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...
Related questions
Question
![Sketch a graph of f'(x)
on (-∞0, –1]; x + on [-1, 1) U
2
Hint : let us say the functions I have drawn are
x+3
(1, 2); and sin(2rx) – 2 on (2, ).
Note:l do not expect you to know the derivative of sin(27x) – 2. As such, I will just
comment that the greatest slope of a tangent line on that function is 2T (that should be
sufficient for a good sketch).
If you've learned about derivatives before or have read ahead, you may recall |(sin(27x)' =
2Tcos(2Tx) - this is an application of the chain rule and trigonometric differentiation!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84577f47-6855-4e4f-91d0-241ebc051b86%2F63d7e37f-8c09-4ebc-adc5-6457be2825dd%2F5n8ksec_processed.png&w=3840&q=75)
Transcribed Image Text:Sketch a graph of f'(x)
on (-∞0, –1]; x + on [-1, 1) U
2
Hint : let us say the functions I have drawn are
x+3
(1, 2); and sin(2rx) – 2 on (2, ).
Note:l do not expect you to know the derivative of sin(27x) – 2. As such, I will just
comment that the greatest slope of a tangent line on that function is 2T (that should be
sufficient for a good sketch).
If you've learned about derivatives before or have read ahead, you may recall |(sin(27x)' =
2Tcos(2Tx) - this is an application of the chain rule and trigonometric differentiation!
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