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 t3 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t2(t² + 1)5/2 = 5)7/2 30. g(t) = t³ (+4 + 5) 7/2 31. y = -6e2 32. y = 8e0.5x 33. y = e−2x³ 34. y = -40 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) 39. y = 40. y = 41. y = In 3.x x-3 In |2x - 1/ * + 3 xe In(x² - 1) (x² + 1)e²x

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 12WE
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Use the rules for derivatives to find the derivative of each function defined as follows.  

 

The ones we'll be focusing on are 30, 32, and 34 as pictured in the attachment.

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
t3 - 2t
28. s(t)
=
(4t - 3)4
29. p(t) = t2(t² + 1)5/2
= 5)7/2
30. g(t) = t³ (+4 + 5) 7/2
31. y = -6e2
32. y = 8e0.5x
33. y = e−2x³
34. y = -40
35. y = 5xe²x
36. y = -7x²e-3x
37. y = ln(2 + x²)
38. y = ln(5x + 3)
39. y =
40. y =
41. y =
In 3.x
x-3
In |2x - 1/
* + 3
xe
In(x² - 1)
(x² + 1)e²x
Transcribed Image Text: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 t3 - 2t 28. s(t) = (4t - 3)4 29. p(t) = t2(t² + 1)5/2 = 5)7/2 30. g(t) = t³ (+4 + 5) 7/2 31. y = -6e2 32. y = 8e0.5x 33. y = e−2x³ 34. y = -40 35. y = 5xe²x 36. y = -7x²e-3x 37. y = ln(2 + x²) 38. y = ln(5x + 3) 39. y = 40. y = 41. y = In 3.x x-3 In |2x - 1/ * + 3 xe In(x² - 1) (x² + 1)e²x
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