Riemann Sum Explorer
Interactively approximate definite integrals using left, right, and midpoint Riemann sums. Adjust the number of rectangles to watch the approximation converge to the true area under the curve.
L'Hôpital's Rule
Related Rates Visualizer
Limits & Continuity
Volumes of Solids of Revolution
Derivative & Tangent Line Visualizer
Drag a point along any differentiable function to see the tangent line update in real time. Visualize how the slope of the tangent equals the derivative value, and explore where derivatives are zero or undefined.
Mean Value Theorem Visualizer
Optimization Problems
Chain Rule Visualizer
Taylor Series
Slope Field Explorer
Generate slope fields for any first-order ODE and trace solution curves through arbitrary initial conditions. Visualize how solutions behave near equilibria, and develop intuition for qualitative analysis.
Area Between Two Curves
ε-δ Definition of a Limit
Exponential Growth & Decay
Volumes w/ Known Cross Sections
Fundamental Theorem of Calculus
Newton-Raphson Method Root Finder
Track the wild convergence of Newton's Method. Place an initial guess x0 and watch iterative tangent lines slice toward the true polynomial root. Place the guess at a local minimum (f'(x)=0) to provoke absolute visual divergence.
Solid of Revolution 3D Visualizer
Interactive Calculus visualizer converting 2D function areas into 3D volumes of revolution using Disk and Washer methods.