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29. x + y = cos y %3D

29. x + y = cos y %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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Use implicit differentiation to find dy/dx. #29
a point for an im- 13-26. Implicit differentiation Carry out the following steps. dy a. Use implicit differentiation to find dx rgument. Sup- sides with respect b. Find the slope of the curve at the given point. -h implies that 13. +y 2: (1, -1) 14. x e'; (2, In 2) 15. y = 4x; (1, 2) 16. y+ 3x 8: (1. V3) 18. V- 2Vy 0: (4, 1) 17. sin y = 5x- 5: (1, 7) 19. cos y =x; 0, 20. tan xy =x+ y, (0, 0) 21. xy = 7; (1, 7) 22. y2 +1 =1; (10, 3) 23. VA + Vyª = 2; (1, 1) 24. x2/3 + y2/3 = 2; (1, 1) %3D 25. xVy + y = 10; (1, 8) 26. (x + y)2/3 = y; (4, 4) figure). ves dy e. 27-40. Implicit differentiation Use implicit differentiation to find dx 27. sin x + sin y = y 28. у — хе 0. 29. x + y = cos y 30. x + 2y = Vy 31. sin xy = x + y 32. ey = 2y x + 1 33. cos y + x = e' 34. у 3 y - 1 x+ y 35. x = 36. (xy + 1)³ = x – y² + & X - y 37. 6x + 7y= 13xy 38. sin x cos y = sin x + co 39. Vx + y? = 5x + 2y 40. Vx + y? = sin y %3D 41. Cobb-Douglas production function The output of an ecc system Q, subject to two inputs, such as labor L and capit is often modeled by the Cobo-Douglas production functi- Q = cL"K". When a = 1, the case is called consta 2. and c 3 %3D to scale. Suppose Q = 1280, a gith respeet to la
Transcribed Image Text:a point for an im- 13-26. Implicit differentiation Carry out the following steps. dy a. Use implicit differentiation to find dx rgument. Sup- sides with respect b. Find the slope of the curve at the given point. -h implies that 13. +y 2: (1, -1) 14. x e'; (2, In 2) 15. y = 4x; (1, 2) 16. y+ 3x 8: (1. V3) 18. V- 2Vy 0: (4, 1) 17. sin y = 5x- 5: (1, 7) 19. cos y =x; 0, 20. tan xy =x+ y, (0, 0) 21. xy = 7; (1, 7) 22. y2 +1 =1; (10, 3) 23. VA + Vyª = 2; (1, 1) 24. x2/3 + y2/3 = 2; (1, 1) %3D 25. xVy + y = 10; (1, 8) 26. (x + y)2/3 = y; (4, 4) figure). ves dy e. 27-40. Implicit differentiation Use implicit differentiation to find dx 27. sin x + sin y = y 28. у — хе 0. 29. x + y = cos y 30. x + 2y = Vy 31. sin xy = x + y 32. ey = 2y x + 1 33. cos y + x = e' 34. у 3 y - 1 x+ y 35. x = 36. (xy + 1)³ = x – y² + & X - y 37. 6x + 7y= 13xy 38. sin x cos y = sin x + co 39. Vx + y? = 5x + 2y 40. Vx + y? = sin y %3D 41. Cobb-Douglas production function The output of an ecc system Q, subject to two inputs, such as labor L and capit is often modeled by the Cobo-Douglas production functi- Q = cL"K". When a = 1, the case is called consta 2. and c 3 %3D to scale. Suppose Q = 1280, a gith respeet to la
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