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5x 5: (1. ) 18. V-2Vy-0. Sin 19. cos y = x» (0, ) 20. tan xy x+y. 21. xy= 7; (1, 7) 22. 구 - 1: (1 +1 23. Vx + Vy = 2; (1, 1) 24. x3 + y13 %3D 25. xVy + y = 10; (1, 8) 26. (x + y)²/3 ee figure). ve. 27-40. Implicit differentiation Use implicit differer 27. sin x + sin y = y 28. y = xe 20 %3D

5x 5: (1. ) 18. V-2Vy-0. Sin 19. cos y = x» (0, ) 20. tan xy x+y. 21. xy= 7; (1, 7) 22. 구 - 1: (1 +1 23. Vx + Vy = 2; (1, 1) 24. x3 + y13 %3D 25. xVy + y = 10; (1, 8) 26. (x + y)²/3 ee figure). ve. 27-40. Implicit differentiation Use implicit differer 27. sin x + sin y = y 28. y = xe 20 %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 94E
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Use implicit differentiation to find dy/dx #35
Tor an inm- 13-26. Implicit differentiation Carry e the following segs a. Use implicit differentiation to find b. Find the slope of the curve at the given point. 13. +y 2: (1,-1) 15. y- 4x: (1, 2) ving argument. Sup- both sides with respect de - which implies that 14. (2. In 2) 16. y+ 3x 8. (1. V3) 18. V-2Vý-0. (4, 1) 17. sin y 5x-5: (1, m) 19. cos y x 20. tan xy x+ y. (0.0) 3D7 21. xy 7; (1, 7). 22. 1:(10, 3) + 1 23. Vx + Vy = 2; (1, 1) 24. x3 + y/3 2: (1, 1 P (see figure). 25. xVy + y = 10; (1, 8) 26. (x + y)²/3 y. (4, 4 %3D curve. 27-40. Implicit differentiation Use implicit differentiation 27. sin x + sin y = y 28. y = xe x = 0. 29. x + y = cos y 30. x + 2y = Vy 31. sin xy = x + y 32. e = 2y x + 1 33. cos y + x = e 34. y = y- 1 x + y 35. х3 36. (xy + 1)³ = X - y 37. 6x + 7y = 13xy 38. sin x cos y 39. Vx* + y² = 5x + 2y³ 40. Vx + y? 41. Cobb-Douglas production function The ow system Q, subject to two inputs, such as lab is often modeled by the Cobb-Douglas pro Q = CL°K". When a + b = 1, the case is nere %3D 1 1220
Transcribed Image Text:Tor an inm- 13-26. Implicit differentiation Carry e the following segs a. Use implicit differentiation to find b. Find the slope of the curve at the given point. 13. +y 2: (1,-1) 15. y- 4x: (1, 2) ving argument. Sup- both sides with respect de - which implies that 14. (2. In 2) 16. y+ 3x 8. (1. V3) 18. V-2Vý-0. (4, 1) 17. sin y 5x-5: (1, m) 19. cos y x 20. tan xy x+ y. (0.0) 3D7 21. xy 7; (1, 7). 22. 1:(10, 3) + 1 23. Vx + Vy = 2; (1, 1) 24. x3 + y/3 2: (1, 1 P (see figure). 25. xVy + y = 10; (1, 8) 26. (x + y)²/3 y. (4, 4 %3D curve. 27-40. Implicit differentiation Use implicit differentiation 27. sin x + sin y = y 28. y = xe x = 0. 29. x + y = cos y 30. x + 2y = Vy 31. sin xy = x + y 32. e = 2y x + 1 33. cos y + x = e 34. y = y- 1 x + y 35. х3 36. (xy + 1)³ = X - y 37. 6x + 7y = 13xy 38. sin x cos y 39. Vx* + y² = 5x + 2y³ 40. Vx + y? 41. Cobb-Douglas production function The ow system Q, subject to two inputs, such as lab is often modeled by the Cobb-Douglas pro Q = CL°K". When a + b = 1, the case is nere %3D 1 1220
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