Calculating Second-Order Partial Derivatives Find all the second-order partial derivatives of the functions in Exer- cises 41-50. 41. f(x, y) = x + y + xy 43. g(x, y) = x²y + cos y + y sin x 44. h(x, y) = xe +y+1 46. s(x, y) = tan¯¹ (y/x) 48. w = ye¹²-y 50. w = x - y x² + y 42. f(x, y) = sin xy 52. g(x, y) = cos x² - sin 3y xex/y 54. z = 45. r(x, y) = ln (x + y) 47. w = x² tan (xy) 49. w = x sin (x²y) 51. f(x, y) = x²y³ = x² + y² 53. z = x sin (2x − y²)

Calculating Second-Order Partial Derivatives Find all the second-order partial derivatives of the functions in Exer- cises 41-50. 41. f(x, y) = x + y + xy 43. g(x, y) = x²y + cos y + y sin x 44. h(x, y) = xe +y+1 46. s(x, y) = tan¯¹ (y/x) 48. w = ye¹²-y 50. w = x - y x² + y 42. f(x, y) = sin xy 52. g(x, y) = cos x² - sin 3y xex/y 54. z = 45. r(x, y) = ln (x + y) 47. w = x² tan (xy) 49. w = x sin (x²y) 51. f(x, y) = x²y³ = x² + y² 53. z = x sin (2x − y²)

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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