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
Find derivative of #36 and #37 functions.
![23-51. Calculating derivatives Find the derivative of the following functions.
23. y sin x + cos x
=
5x² + cos x
24.3
. Y =
25. y = e sin x
26. y = sin x + 4eª
27. y = x sin x
28. y = e(cos x + sin x)
COS X
29. y =
30. y
=
sin x + 1
1 - sin x
=
1+ sin x
sin x cos x
a sin x + b cos x
31. y
32. y=
33. y = cos²x
a sin x -b cos x
x sin x
39 21-
34. y =
1+ cos x
35. y = w² sin w+ 2w cos w − 2 sin w
36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x
37. y = x cos x sin x
1
38. y =
-; a and b are nonzero constants
2+ sin x
sin x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ea0963c-64ff-46a6-b97c-79944ef211ae%2F7150c399-dd06-4b54-ab09-f4f5a9cf4f5c%2Fyxz47dt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23-51. Calculating derivatives Find the derivative of the following functions.
23. y sin x + cos x
=
5x² + cos x
24.3
. Y =
25. y = e sin x
26. y = sin x + 4eª
27. y = x sin x
28. y = e(cos x + sin x)
COS X
29. y =
30. y
=
sin x + 1
1 - sin x
=
1+ sin x
sin x cos x
a sin x + b cos x
31. y
32. y=
33. y = cos²x
a sin x -b cos x
x sin x
39 21-
34. y =
1+ cos x
35. y = w² sin w+ 2w cos w − 2 sin w
36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x
37. y = x cos x sin x
1
38. y =
-; a and b are nonzero constants
2+ sin x
sin x
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