Showing 8 results
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.
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.
Solid of Revolution 3D Visualizer
Interactive Calculus visualizer converting 2D function areas into 3D volumes of revolution using Disk and Washer methods.
Implicit Differentiation
Implicit differentiation analyzer for non-functions (Circles, Ellipses, Foliums). Evaluates dy/dx dynamically, reacting to both x and y inputs to map vertical and horizontal tangents.
Related Rates Visualizer
Related rates visualization using implicit chain rule integration with respect to time (dt). Demonstrates the geometric parameter shift paradox of Constant dV/dt impacting spherical radii and conical fill heights dynamically.
Solid of Revolution Volume
Volumetric solids of revolution visualizer computing the Washer Method natively via integral bounds. Calculates both standard axis limits and offset axis shifts dynamically.
Slope Field Explorer
Slope field generator plotting directional isoclines. Includes an interactive differential Euler-trace mechanism resolving specific math solutions when a distinct Initial Condition point is dropped onto the coordinate grid.
Separable Differential Equations
Slope field visualization with Euler method solution curves for 4 classic separable ODEs (dy/dx=xy, −y/x, y(1−y) logistic, x/y). Adjustable initial condition y₀ with multiple solution curves. Step-by-step separation and integration displayed.