(47 - 3)4 29. p(t) = t2(t² + 1)5/2 30. g(t) = 13(t4 + 5)7/2 31. y = -6e2x 32. y = 8e0.5x 33. y = e−2r³ 34. y = -4px 35. y = 5re2 36. y = -7x²e-3x 37. y = ln(2+x²) 38. y = ln(5x + 3) 39. y = 40. y ။ In |3x| X-3 In |2x - 1| x + 3 Xex In(x² - 1) 41. y = (x² + 1)e²x 42. y = ln x 43. s = (t² + e') 2 44. q = (e²p+1 = 2)4 45. y = 3.10-2 46. y = 10.2√x 47. g(z) = log(z³ +z+1) 48. h(z) = log(1 + e²) 49. f(x) = e²* In(xe* + 1) eVx 50. f(x) = In(√x + 1)

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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Use the rules for derivatives to find the derivative of each function defined as follows.  

 

We'll only be focusing on 38, 40, and 50 as pictured in the attachment.

(47
-
3)4
29. p(t) = t2(t² + 1)5/2
30. g(t) = 13(t4 + 5)7/2
31. y = -6e2x
32. y = 8e0.5x
33. y = e−2r³
34. y = -4px
35. y = 5re2
36. y = -7x²e-3x
37. y = ln(2+x²)
38. y = ln(5x + 3)
39. y
=
40. y
။
In |3x|
X-3
In |2x - 1|
x + 3
Xex
In(x² - 1)
41. y =
(x² + 1)e²x
42. y =
ln x
43. s = (t² + e') 2
44. q = (e²p+1 = 2)4
45. y = 3.10-2
46. y = 10.2√x
47. g(z) = log(z³ +z+1)
48. h(z) = log(1 + e²)
49. f(x) = e²* In(xe* + 1)
eVx
50. f(x) =
In(√x + 1)
Transcribed Image Text:(47 - 3)4 29. p(t) = t2(t² + 1)5/2 30. g(t) = 13(t4 + 5)7/2 31. y = -6e2x 32. y = 8e0.5x 33. y = e−2r³ 34. y = -4px 35. y = 5re2 36. y = -7x²e-3x 37. y = ln(2+x²) 38. y = ln(5x + 3) 39. y = 40. y ။ In |3x| X-3 In |2x - 1| x + 3 Xex In(x² - 1) 41. y = (x² + 1)e²x 42. y = ln x 43. s = (t² + e') 2 44. q = (e²p+1 = 2)4 45. y = 3.10-2 46. y = 10.2√x 47. g(z) = log(z³ +z+1) 48. h(z) = log(1 + e²) 49. f(x) = e²* In(xe* + 1) eVx 50. f(x) = In(√x + 1)
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