If an entiry is dependent on another entity in a certain way then the change in value of the dependent entity to an unit change in the value of the independent entity is the rate of change.
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The Variable Rate is the rate at which a number changes
The definition is: "The rate of increased size per unit time".
The differentiation of a constant is zero because a constant value does not change with respect to the variable being differentiated. The derivative measures the rate of change of a function, and since a constant has no change, its derivative is zero.
The definition of natality is birth rate. It is a French word.
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.