PROBLEMS 11.5 у 3 yAR-4onigne 31. y= • In Problems 1-8, use the chain rule. ubon9 1. If y = u? - 2u and u = xr? - x, find dy/dx. 2. If y = 2u³ – 8u and u = 7x – x³, find dy/dx. dert2omin 33. y=x'C 4x² 35. y = 4x- - 3. If у %3 1 and w = 3xr - 5, find dy/dx. 37. y = (x² 4. If y = z and z = x – xr4 + 3, find dy/dx. 39. у 3 (8. t - 1 5. If w — из and и — find dw/dt when t = 1. 41. y = %3D t+1 -1. sdw 1o 6. If z = u² + Vũ + 9 and u = 2s² – 1, find dz/ds when s = –1. 7. If y = 3w² – 8w +4 and w = 2x² + 1, find dy/dx when x = 0. 43. у %3 V 8. If y = 2u³+ 3u? + 5u – 1 and u = 3x + 1, find dy/dx when - X = 1. 45. у 3 In Problems 9–52, find y'. 9. y= (3x+2)° 47. у — giged oW. 10. y = (x² – 4)* 12. y = (x² + x)* ba th do 11. y= (3 + 2r')5 49. y = 6 13. y= 5(x³ – 3x² + 2x)'00 14. у — (2r? + 1)* - 15. v= (r2 _ 2)-3 51. у 3 12
PROBLEMS 11.5 у 3 yAR-4onigne 31. y= • In Problems 1-8, use the chain rule. ubon9 1. If y = u? - 2u and u = xr? - x, find dy/dx. 2. If y = 2u³ – 8u and u = 7x – x³, find dy/dx. dert2omin 33. y=x'C 4x² 35. y = 4x- - 3. If у %3 1 and w = 3xr - 5, find dy/dx. 37. y = (x² 4. If y = z and z = x – xr4 + 3, find dy/dx. 39. у 3 (8. t - 1 5. If w — из and и — find dw/dt when t = 1. 41. y = %3D t+1 -1. sdw 1o 6. If z = u² + Vũ + 9 and u = 2s² – 1, find dz/ds when s = –1. 7. If y = 3w² – 8w +4 and w = 2x² + 1, find dy/dx when x = 0. 43. у %3 V 8. If y = 2u³+ 3u? + 5u – 1 and u = 3x + 1, find dy/dx when - X = 1. 45. у 3 In Problems 9–52, find y'. 9. y= (3x+2)° 47. у — giged oW. 10. y = (x² – 4)* 12. y = (x² + x)* ba th do 11. y= (3 + 2r')5 49. y = 6 13. y= 5(x³ – 3x² + 2x)'00 14. у — (2r? + 1)* - 15. v= (r2 _ 2)-3 51. у 3 12
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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