Properties
Like the ordinary derivative, the functional derivative satisfies the following properties:
- It is linear:
- The product rule:
- The following chain rules: if is an ordinary differentiable function, then
- and
These properties follow easily from the definition.
Read more about this topic: Functional Derivative
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“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
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—John Locke (1632–1704)