The fifth-order partial derivative aºf/ax²öy³ 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) = y?rte" + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin x + 7e d. f(x, y) = xe/2

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The fifth-order partial derivative

The fifth-order partial derivative aºf/ax²öy³ 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) = y?rte" + 2
b. f(x, y) = y² + y(sin x – x*)
c. f(x, y) = x² + 5xy + sin x + 7e
d. f(x, y) = xe/2
Transcribed Image Text:The fifth-order partial derivative aºf/ax²öy³ 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) = y?rte" + 2 b. f(x, y) = y² + y(sin x – x*) c. f(x, y) = x² + 5xy + sin x + 7e d. f(x, y) = xe/2
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