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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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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