When a differential operator acts on a constant does this equal 0 or just the constant? For example
$ F_x a $
Where Fx is the first order difference operator and a is constant
2026-02-22 22:40:06.1771800006
Differential operator acting on a constant
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The concept of a Derivative means the limit of the ratio of the change in a function to the corresponding change in its independent variable as the latter change approaches zero.
A constant remains constant irrespective of any change to any variable in the function therefore, its derivative is $0$.