Differentiation of the function would give you an instantaneous rate of change at one point; the tangent line. Repeated differentiation of some functions would give you many such points.
f(x) = X3
= d/dx( X3)
= 3X2
=======graph and see
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to find the rate divide the percentage by the base that is R=P divide B OR R=P/B THEN CHANGE THE ANSWER TO PERCENT
The rate of change is the change divided by the original value. This answer, converted to a percentage is the percentage rate of change.
A linear function has a constant rate of change - so the average rate of change is the same as the rate of change.Take any two points, A = (p,q) and B = (r, s) which satisfy the function. Then the rate of change is(q - s)/(p - r).If the linear equation is given:in the form y = mx + c then the rate of change is m; orin the form ax + by + c = 0 [the standard form] then the rate is -a/b.
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.
A quantity with a negative rate of change becomes smaller as time goes on. A quantity with a positive rate of change becomes larger as time goes on.