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_13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x - 5) d. y' = -4cos (4x)

_13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x - 5) d. y' = -4cos (4x)

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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Can someone answer 13-15. Thank you.

_13. If y = sin(4x – 5), then what is y'? %3D а. у'3 cos (4х-5) b. y' = 4cos (4x – 5) с. у'%3D— сos (4х — 5) d. y' = -4cos (4x) _14. If y = 3x sin(4x), then what is y'? а. у'%3D2хсos (4x) + 3sin (4x) b. y' = cos(4x) + sin(4x) + 3x c. y' = 12xcos 4x + 3sin 4x d. y' = 2xcos(4x) + 3cos (4x²) _15. What is the y' of y = tan(6x – 5) ? a. y' = 6csc2(6x – 5) b. y' = tan (6) c. y' = 6sec²(6x – 5) d. y'%3D бсot (6х — 5) %3D 16. What is the derivative of f(x) = e8x+3? a. f'(x) = e® b. f'(x) = 3e8x c. f'(x) = 8e d. f'(x) = 8eBx+3 _17. What is the derivative of y = 34x? a. y' = 4x3 b. y' = In4x + 34x c. y' = (4)(3**) d. y' = (4) 3**In (3) _18. What are the critical points of f(x) = x³ – 3x2 – 3. а. (0, -3)аnd(2, -7) b. (0,3)and( 2,7) c. (0,2 )and( 2,6) d. (1, 2)and(3, 5) 19. What is the second derivative of y = 6x* – 3x3 + x² – 5? а. у"3 24x3 — 9х2 + 2х b. у"3D 144х — 18 с. у" %3D 72х2 -18х + 2 d. y": = 144 20. What is the third derivative of y = 2x5 – 2x* + 5x³ + 6? %3! а. у" 3 10х4 — 8х3 + 15х2 b. y" = 2x* – 2x3 + 5x? с. у" 3D 120х2 — 48х + 30 d. y" = 40x3 – 24x? + 30x
Transcribed Image Text:_13. If y = sin(4x – 5), then what is y'? %3D а. у'3 cos (4х-5) b. y' = 4cos (4x – 5) с. у'%3D— сos (4х — 5) d. y' = -4cos (4x) _14. If y = 3x sin(4x), then what is y'? а. у'%3D2хсos (4x) + 3sin (4x) b. y' = cos(4x) + sin(4x) + 3x c. y' = 12xcos 4x + 3sin 4x d. y' = 2xcos(4x) + 3cos (4x²) _15. What is the y' of y = tan(6x – 5) ? a. y' = 6csc2(6x – 5) b. y' = tan (6) c. y' = 6sec²(6x – 5) d. y'%3D бсot (6х — 5) %3D 16. What is the derivative of f(x) = e8x+3? a. f'(x) = e® b. f'(x) = 3e8x c. f'(x) = 8e d. f'(x) = 8eBx+3 _17. What is the derivative of y = 34x? a. y' = 4x3 b. y' = In4x + 34x c. y' = (4)(3**) d. y' = (4) 3**In (3) _18. What are the critical points of f(x) = x³ – 3x2 – 3. а. (0, -3)аnd(2, -7) b. (0,3)and( 2,7) c. (0,2 )and( 2,6) d. (1, 2)and(3, 5) 19. What is the second derivative of y = 6x* – 3x3 + x² – 5? а. у"3 24x3 — 9х2 + 2х b. у"3D 144х — 18 с. у" %3D 72х2 -18х + 2 d. y": = 144 20. What is the third derivative of y = 2x5 – 2x* + 5x³ + 6? %3! а. у" 3 10х4 — 8х3 + 15х2 b. y" = 2x* – 2x3 + 5x? с. у" 3D 120х2 — 48х + 30 d. y" = 40x3 – 24x? + 30x
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