To find the constant rate of change is by taking the final minus initial over the initial.
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If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.
constant rate means that rate which is fixed and can not be changed. varying rate is that rate which is not fixed and can be change easily.
The constant rate of change between two points on a line is called slope.
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.
An arithmetic series does not have a constant rate of change, so there is none.