Free AP Calculus AB and BC
Calculus you can drag.
Solvers hand you an answer and paywall the steps. Here, every core idea is something you move: drag a point and the derivative draws itself, slide n and the rectangles become the integral, shrink h and the secant becomes the tangent. The one below is real. Try it.
Full bar is the worst single-rectangle error for this function; empty means the sum is within 0.0001 of the exact integral.
That is a Riemann sum becoming an integral, live. Every visualizer and calculator on this site works like this.
Everything here moves
5 visualizers and 12 teaching calculators. None of them are black boxes: you do the thinking step, the tool checks it and shows the why.
Visualizer
Tangent Line Tracer: Watch the Derivative Appear
Drag a point, watch the derivative draw itself
Visualizer
Riemann Sum Slider: Drag n, Watch the Error Vanish
Drag n and watch the rectangles become the integral
Visualizer
Secant to Tangent: The Limit Definition, Made Physical
Shrink h to zero with your own hands
Visualizer
Solid of Revolution Builder: Disk, Washer, and Shell
Spin a region into a 3D solid
Visualizer
Related Rates Scene: Sliding Ladder and Cone Tank
Slide the ladder, see both rates move
Teaching calculator
Riemann Sum Visualizer: Rectangles, Error, and Rules
Your f(x), your bounds, every method
Teaching calculator
Chain Rule Step Trainer: You Pick the Decomposition
You spot the composition, it checks you
Teaching calculator
U-Substitution Helper: Pick u, See Why It Works
Pick u, get told why it works or stalls
Teaching calculator · BC
Series Convergence Test Chooser: Which Test and Why (BC)
Walk the decision tree question by question
Teaching calculator
Limit Solver (Teaching Mode): Which Method and Why
Which limit technique, and why
Teaching calculator
Definite Integral Step Tool: FTC, Shown Honestly
The antiderivative and bounds, step by step
Teaching calculator
Tangent and Normal Line Finder (Teaching Mode)
Tangent and normal lines with the work shown
Teaching calculator · BC
Taylor Series Builder: Coefficients from Derivatives
Add terms, watch the polynomial hug the curve
Teaching calculator
Derivative Practice Checker: Any Correct Form Passes
Type any correct form, it knows
Teaching calculator
Related Rates Setup Builder: The Five-Step Method
You pick the relation, it scaffolds the rest
Teaching calculator
Optimization Setup Builder: Objective vs Constraint
Objective vs constraint, the setup skill
Teaching calculator · BC
Interval of Convergence Finder: Ratio Test and Endpoints
Ratio test plus honest endpoint checks
From the maker of EconLearn, which the Colorado Department of Education lists in its economics resource bank.
Start with the course
Both courses follow the official College Board framework, unit by unit, with exam weightings from the current Course and Exam Description.
- AP Calculus AB : Units 1 to 8, the full AB exam scope
- AP Calculus BC : everything in AB plus series, parametrics, and polar
- Reference tables : derivative rules, integrals, and common series in one place
Or jump to what is due tonight
Method guides for the questions solvers cannot answer: which technique, how to set it up, and why it works.
- Study guides : 27 method-first guides with worked examples
- Common derivatives : the answer up front, then the proof
- Exam format : sections, timing, and the calculator policy