(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...
Question

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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