Higher-Order Derivatives - HP F2226A - 48GII Graphic Calculator User Manual

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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
x
2
y
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
2
f
f
f
,
2
x
x
2
y
2
f
f
f
,
x
y
x
x
y
2
2
f
f
.
y
x
x
y
f
,
y
y
f
x
y
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