Comparing IROC and AROC
Use the app below to compare IROC and AROC at the point A. You can modify the function f(x) using the input box.
Use the sliders to control the points B and C. As the distance of these points from A decreases, the secant (AROC) lines AB and AC approaches the tangent (IROC) at the point A. In other words, the smaller distances we use between the points provides a better approximation of the slope of the function.