Suppose
f
(
x
,
y
)
\displaystyle {f{{\left({x},{y}\right)}}}
f
(
x
,
y
)
is a function of two variables. In what order is the notation
∂
2
f
∂
x
∂
y
\displaystyle {\frac{{\partial^{{2}}{f}}}{{\partial{x}\partial{y}}}}
∂
x
∂
y
∂
2
f
telling us to differentiate
f
\displaystyle {f}
f
?
With respect to
x
\displaystyle {x}
x
first and then
y
\displaystyle {y}
y
.
With respect to
y
\displaystyle {y}
y
first and then
x
\displaystyle {x}
x
.
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