Interactive Demo
The Limit Definition of a Derivative
The Limit Definition of a Derivative is a free, interactive learning demo from the AP/College Calculus AB course on Lykke. It helps you build intuition for Derivative as a Limit, Instantaneous Rate of Change, Power Rule, Product and Quotient Rules. Play with it directly in your browser — it features 3 sliders and a live visual canvas. Watch how the secant line converges to the tangent line. This demo lives in the “Differentiation: Definition and Fundamental Rules” section of the course.
How to use this demo
- Watch how the secant line converges to the tangent line.
- Drag the sliders to change the inputs and watch the visualization update in real time.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Derivative as a Limit
- Instantaneous Rate of Change
- Power Rule
- Product and Quotient Rules
- Trigonometric and Exponential Derivatives
Frequently asked questions
What does the The Limit Definition of a Derivative demo do?
The Limit Definition of a Derivative Move the slider to shrink h. The Limit Definition of a Derivative lets you explore this hands-on instead of only reading about it.
What AP/College Calculus AB concept does The Limit Definition of a Derivative teach?
Defining the derivative as a rate of change and mastering basic rules for calculation. It focuses on Derivative as a Limit, Instantaneous Rate of Change, Power Rule, Product and Quotient Rules, Trigonometric and Exponential Derivatives from the “Differentiation: Definition and Fundamental Rules” section.
What can I control in The Limit Definition of a Derivative?
The sliders change the key inputs. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does The Limit Definition of a Derivative fit into the AP/College Calculus AB course?
The Client Challenge course is a comprehensive AP®/College Calculus AB curriculum designed to master the foundational principles of calculus. It covers ten core units ranging from limits and continuity to advanced appli… This demo is the interactive piece for the “Differentiation: Definition and Fundamental Rules” section. Open the full AP/College Calculus AB course wiki at https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c for notes, flashcards, quizzes and the other demos.
What will I understand better after using The Limit Definition of a Derivative?
You'll build intuition for Derivative as a Limit, Instantaneous Rate of Change, Power Rule, Product and Quotient Rules, Trigonometric and Exponential Derivatives — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP/College Calculus AB alone.
From the AP/College Calculus AB course
This interactive demo is part of the Differentiation: Definition and Fundamental Rules section. Explore the full AP/College Calculus AB course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the AP/College Calculus AB course →