Prerequisite concepts
Differential Calculus
The derivative is a function
One of Zandieh's process-object layers for derivatives is that derivatives are functions. This means that the value of a derivative depends on where in the domain of the function one is looking. The derivative of a function is itself a function, with the same domain as the original function. Both the (derivative) function and the value of the derivative at a point are commonly referred to as "the derivative."
The gradient is a function
The gradient of a function (unless taken at a single point) is itself a function
