Calculus Tools

Plot functions, explore properties, and see step-by-step derivative analysis with interactive graphing.

Plot f(x), f'(x), and F(x) together. Drag a point to see the tangent line slope and accumulated area with step-by-step differentiation.

Explore arithmetic and geometric sequences with terms, partial sums, and convergence analysis.

Graph roses, cardioids, Lissajous curves, cycloids, and more with animated tracing and area/arc length computation.

Approximate definite integrals with left, right, midpoint, and trapezoidal methods. Slider for number of rectangles shows convergence.

Select from 23 preset examples across 8 rule categories. See the problem, rule applied, and full worked solution with KaTeX-rendered steps.

Work through u-substitution with 20 examples in 5 categories. Step-by-step reveal shows substitution, du setup, integration, and back-substitution.

12 classic related-rates problems with live SVG diagrams. Enter the known rate and current measurement, then see the computed unknown rate with solution steps.

12 constrained optimization problems with interactive SVG diagrams. Drag the slider or type the variable value and see objective function and derivative plotted live.

Compute left-hand, right-hand, and two-sided limits numerically. SVG graph, approach table, and discontinuity classification.

Solve separable, first-order linear, and second-order constant coefficient ODEs. Slope fields, solution curves, characteristic equation analysis, and step-by-step math.

Plot 3D surfaces, parametric curves, vector fields, and implicit surfaces with animation and shareable URLs

Plot slope fields for first-order ordinary differential equations dy/dx = f(x, y). Choose from 13 preset equations including exponential growth, logistic, sinusoidal, and saddle systems, or type your own expression with sin, cos, exp, log, sqrt, and abs. Click anywhere on the canvas to draw a solution curve through that initial condition using fourth-order Runge-Kutta integration both forward and backward. Adjustable grid density and step size.