Not as good as the IROC prime method because values are relative to a point Requires:
- Formula
- 2 Points A method for finding the IROC How this is done is by creating a formula for AROC for every offset of x. it goes like this: f(x) - f(x) / x - x Find algebraically, the new function that results from this. and find the constant value. that is your instantaneous velocity.
Example
For example, function f(x) = -0.5x^3+2x+3and we have a point (2,3)
to find the instant velocity, we need to find 2 formulas.
f(2) and f(2+o)
f(2) = -0.5(2)^3+2(2)+3
= 3
f(2+o) = -0.5(2+o)^3+2(2+o)+3
= -0.5(o^3+6o^2+12o+8) + 4 + 2o + 3
= -0.5o^3 -3o^2 -4o + 7
so then its f(2+o) - f(2) / o