Provide an appropriate response.
-Which order of differentiation will calculate $\mathrm { f } _ { \mathrm { xy } }$ faster, $x$ first or $\mathrm { y }$ first?
$$f ( x , y ) = \frac { 1 } { g ( y ) } , g ( y ) \neq 0$$
A) x first
B) y first

Question

Quizplus · Accepted Answer

Differentiating with respect to $x$ first results in zero since $f(x, y)$ does not explicitly depend on $x$, making the subsequent differentiation with respect to $y$ trivial.

Provide an Appropriate Response fxy\mathrm { f } _ { \mathrm { xy } }fxy​

Provide an Appropriate Response $\mathrm { f } _ { \mathrm { xy } }$