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therefore, with DERVX you can only calculate derivatives with respect to X.
Some examples of first-order partial derivatives are shown next:
Higher-order derivatives
The following second-order derivatives can be defined
,
,
2
2
2
2
∂
∂
∂
∂
=
∂
∂
∂
∂
∂
∂
=
∂
∂
y
f
y
y
f
x
f
x
x
f
∂
∂
∂
∂
=
∂
∂
∂
∂
∂
∂
∂
=
∂
∂
∂
y
f
x
y
x
f
x
f
y
x
y
f
2
2
,
The last two expressions represent cross-derivatives, the partial derivatives
signs in the denominator shows the order of derivation. In the left-hand side,
the derivation is taking first with respect to x and then with respect to y, and in
the right-hand side, the opposite is true. It is important to indicate that, if a
function is continuous and differentiable, then
y
x
f
x
y
f
∂
∂
∂
=
∂
∂
∂
2
2
.