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8. 12. If y = then what is ? x+4 dx dy = 4x(x + 4) dy C. dx -4Vx + 8 dx dy dy = -4(x + 4) d. dx = 8Vx + 4 %3D dx a. b.

8. 12. If y = then what is ? x+4 dx dy = 4x(x + 4) dy C. dx -4Vx + 8 dx dy dy = -4(x + 4) d. dx = 8Vx + 4 %3D dx a. b.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 67E
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8 12. If y = , then what is %3D Vx+4' dy a. = 4x(x + 4) dx -4Vx + 8 dx dy b. dx -4(x + 4) = 8Vx + 4 d. 13. If y = sin(4x – 5), then what is y'? а. у'— cos (4х — 5) b. y'%3D 4cos (4х — 5) С. у' 3 — сos (4х — 5) d. y' = -4cos (4x) _14. If y = 3x sin(4x), then what is y'? а. у'%3D 2хсos(4x) + 3sin (4x) b. y' = cos(4x) + sin(4x) + 3x C. y' = 12xcos 4x + 3sin 4x d. y' %3D2xcos (4x) + Зсos (4x?) _15. What is the y' of y = tan(6x – 5) ? а. у'3D 6csc? (6х — 5) b. y' = tan (6) С. у' %3D 6sec? (6х — 5) d. y' 3D 6сot (6х — 5) 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) = 8e8x+3 17. What is the derivative of y = 34x? a. y' = 4x3 b. y' = In4x + 34x с. у' %3 (4)(34*) d. y' = (4) 34*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)аnd(3, 5) _19. What is the second derivative of y = 6xª – 3x3 + x2 – 5? a. y" = 24x3 – 9x² + 2x b. y"%3D 144х — 18 С. у" 3D 72х2 — 18х + 2 d. y" = 144 20. What is the third derivative of y = 2x5 – 2x* + 5x3 + 6? а. у" — 10х4 — 8х3 + 15x2 b. y" %3D 2x4 — 2х3 + 5х2 C. y"" = 120x² – 48x + 30 d. y" = 40x3 – 24x2 + 30x
Transcribed Image Text:8 12. If y = , then what is %3D Vx+4' dy a. = 4x(x + 4) dx -4Vx + 8 dx dy b. dx -4(x + 4) = 8Vx + 4 d. 13. If y = sin(4x – 5), then what is y'? а. у'— cos (4х — 5) b. y'%3D 4cos (4х — 5) С. у' 3 — сos (4х — 5) d. y' = -4cos (4x) _14. If y = 3x sin(4x), then what is y'? а. у'%3D 2хсos(4x) + 3sin (4x) b. y' = cos(4x) + sin(4x) + 3x C. y' = 12xcos 4x + 3sin 4x d. y' %3D2xcos (4x) + Зсos (4x?) _15. What is the y' of y = tan(6x – 5) ? а. у'3D 6csc? (6х — 5) b. y' = tan (6) С. у' %3D 6sec? (6х — 5) d. y' 3D 6сot (6х — 5) 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) = 8e8x+3 17. What is the derivative of y = 34x? a. y' = 4x3 b. y' = In4x + 34x с. у' %3 (4)(34*) d. y' = (4) 34*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)аnd(3, 5) _19. What is the second derivative of y = 6xª – 3x3 + x2 – 5? a. y" = 24x3 – 9x² + 2x b. y"%3D 144х — 18 С. у" 3D 72х2 — 18х + 2 d. y" = 144 20. What is the third derivative of y = 2x5 – 2x* + 5x3 + 6? а. у" — 10х4 — 8х3 + 15x2 b. y" %3D 2x4 — 2х3 + 5х2 C. y"" = 120x² – 48x + 30 d. y" = 40x3 – 24x2 + 30x
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