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62. The fifth-order partial derivative a³f/ðx²ay³ is zero for each of the following functions. To show this as quickly as possible, which variable would you differentiate with respect to first: x or y? Try to answer without writing anything down. a. f(x, y) = y²x'e* + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin r + 7e* d. f(x, y) = xe³/2 %3D

62. The fifth-order partial derivative a³f/ðx²ay³ is zero for each of the following functions. To show this as quickly as possible, which variable would you differentiate with respect to first: x or y? Try to answer without writing anything down. a. f(x, y) = y²x'e* + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin r + 7e* d. f(x, y) = xe³/2 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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62. The fifth-order partial derivative a³f/ðx²ay³ is zero for each of the following functions. To show this as quickly as possible, which variable would you differentiate with respect to first: x or y? Try to answer without writing anything down. a. f(x, y) = y²x'e* + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin r + 7e* d. f(x, y) = xe³/2 %3D
Transcribed Image Text:62. The fifth-order partial derivative a³f/ðx²ay³ is zero for each of the following functions. To show this as quickly as possible, which variable would you differentiate with respect to first: x or y? Try to answer without writing anything down. a. f(x, y) = y²x'e* + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin r + 7e* d. f(x, y) = xe³/2 %3D
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