Provide an appropriate response.
-Which order of differentiation will calculate $f _ { x y }$ faster, $x$ first or $y$ first?
$$f ( x , y ) = y \ln ( x ) - 3 \sin ( x )$$
A) x first
B) y first

Question

Quizplus · Accepted Answer

Differentiating with respect to $y$ first simplifies the function because the derivative of $y \ln(x)$ with respect to $y$ is $\ln(x)$, and $-3\sin(x)$ drops out as it does not involve $y$. This simplification makes the subsequent differentiation with respect to $x$ straightforward.

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