The Birth of e: Continuous Compounding

The Birth of e: Continuous Compounding (1 + r/n) nt Compounding Frequency (n) 1 Annual Near-Continuous Growth Rate (r) 100% Discrete Continuous (e rt) As n increases, the discrete steps smooth out to match the natural growth curve. The Birth of e: Continuous Compounding lets you explore this hands-on instead of only reading about it.

A deep dive into non-linear growth and decay, the properties of logarithms, and solving exponential equations. It focuses on Exponential Growth, The Natural Base (e), Logarithmic Properties, Exponential Modeling from the “Exponential and Logarithmic Functions” section.

The “Compounding Frequency (n) 1”, “Growth Rate (r) 100%” sliders change the key inputs. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

OpenStax Precalculus 2e is a comprehensive, peer-reviewed Open Educational Resource (OER) designed to bridge the gap between algebra and calculus. The course provides a rigorous exploration of functions, trigonometry, a… This demo is the interactive piece for the “Exponential and Logarithmic Functions” section. Open the full Precalculus 2e course wiki at https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Exponential Growth, The Natural Base (e), Logarithmic Properties, Exponential Modeling — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus 2e alone.