Provide an appropriate response.
-Which order of differentiation will calculate $f _ { x y }$ faster, $x$ first or y first?
$$f ( x , y ) = x ^ { 2 } y + \sqrt { y ^ { 2 } + 1 }$$
A) x first
B) y first

Question

Quizplus · Accepted Answer

Differentiating with respect to $x$ first simplifies the process because the second term, $\sqrt{y^2 + 1}$, does not involve $x$ and thus its derivative with respect to $x$ is 0, making the calculation simpler.

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