composite function composition chain rule 4.4 24. y = -3√/814 - 1 25. y = 3x(2x + 1)³ 26. y = 4x²(3x - 2)5 5t² - 7t 27. r(t) = (3t + 1)³ 13 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t²(t² + 1)5/2 30. g(t) = t³ (t4 + 5) 7/2 31. y = -6e2x 32. y = 8e0.5x -2x3 33. y = e−2x³ 34. y = -40x2 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) In 3x 39. y x - 3 - logistic function
composite function composition chain rule 4.4 24. y = -3√/814 - 1 25. y = 3x(2x + 1)³ 26. y = 4x²(3x - 2)5 5t² - 7t 27. r(t) = (3t + 1)³ 13 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t²(t² + 1)5/2 30. g(t) = t³ (t4 + 5) 7/2 31. y = -6e2x 32. y = 8e0.5x -2x3 33. y = e−2x³ 34. y = -40x2 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) In 3x 39. y x - 3 - logistic function
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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Question
Use the rules for derivatives to find the derivative of each function defined as follows.
For now, we'll be focusing on 24, 26, and 28, as pictured in the attachment.
![composite function
composition
chain rule
4.4
24. y = -3√/814 - 1
25. y = 3x(2x + 1)³
26. y = 4x²(3x - 2)5
5t² - 7t
27. r(t)
=
(3t + 1)³
13 - 2t
28. s(t)
=
(4t - 3)4
29. p(t) = t²(t² + 1)5/2
30. g(t) = t³ (t4 + 5) 7/2
31. y = -6e2x
32. y = 8e0.5x
-2x3
33. y = e−2x³
34. y = -40x2
35. y = 5xe²x
36. y = -7x²e-3x
37. y = ln(2 + x²)
38. y = ln(5x + 3)
In 3x
39. y
x - 3
-
logistic function](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c07b5b8-5784-4ae4-bd21-95a1da8f4790%2Fcdd37905-67ba-47f7-b337-ce195fb937aa%2F6ipd26t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:composite function
composition
chain rule
4.4
24. y = -3√/814 - 1
25. y = 3x(2x + 1)³
26. y = 4x²(3x - 2)5
5t² - 7t
27. r(t)
=
(3t + 1)³
13 - 2t
28. s(t)
=
(4t - 3)4
29. p(t) = t²(t² + 1)5/2
30. g(t) = t³ (t4 + 5) 7/2
31. y = -6e2x
32. y = 8e0.5x
-2x3
33. y = e−2x³
34. y = -40x2
35. y = 5xe²x
36. y = -7x²e-3x
37. y = ln(2 + x²)
38. y = ln(5x + 3)
In 3x
39. y
x - 3
-
logistic function
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