Interactive Demo
The Limit Definition of the Derivative
The Limit Definition of the Derivative is a free, interactive learning demo from the AP/College Calculus BC course on Lykke. It helps you build intuition for Power Rule, Product Rule, Quotient Rule, Transcendental Functions. Play with it directly in your browser — it features 3 sliders and a live visual canvas. This demo lives in the “Differentiation: Fundamentals” section of the course.
How to use this demo
- 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
- Power Rule
- Product Rule
- Quotient Rule
- Transcendental Functions
Frequently asked questions
What does the The Limit Definition of the Derivative demo do?
Introduction to the derivative as a limit and basic differentiation rules. The Limit Definition of the Derivative turns that idea into something you can manipulate directly and watch respond.
What AP/College Calculus BC concept does The Limit Definition of the Derivative teach?
Introduction to the derivative as a limit and basic differentiation rules. It focuses on Power Rule, Product Rule, Quotient Rule, Transcendental Functions from the “Differentiation: Fundamentals” section.
What can I control in The Limit Definition of the 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 the Derivative fit into the AP/College Calculus BC course?
This course provides a comprehensive curriculum for AP®/College Calculus BC, covering twelve units of study from foundational limits to advanced infinite series. Students will master differentiation, integration, differ… This demo is the interactive piece for the “Differentiation: Fundamentals” section. Open the full AP/College Calculus BC course wiki at https://www.getlykke.com/explore/public/apcollege-calculus-bc-f0911bf9-0b0e-4390-9916-edee07cb9049 for notes, flashcards, quizzes and the other demos.
What will I understand better after using The Limit Definition of the Derivative?
You'll build intuition for Power Rule, Product Rule, Quotient Rule, Transcendental Functions — 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 BC alone.
From the AP/College Calculus BC course
This interactive demo is part of the Differentiation: Fundamentals section. Explore the full AP/College Calculus BC course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the AP/College Calculus BC course →