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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

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

Calculus: Early Transcendentals
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.  

 

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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