Explore Calculus

Dive into the heart of change and accumulation with interactive visualizations, real-time problem solving, and dynamic calculus applications.

FUNDAMENTAL CONCEPTS

Explore how functions behave as they approach specific points using interactive graphing tools.

Visualize rates of change and slopes with real-time graph manipulation and tangent line analysis.

Discover accumulation with interactive area-under-curve calculators and real-world applications.

See calculus in action with physics simulations, optimization problems, and motion analysis tools.

Manipulate functions and see their derivatives in real-time with tangent line visualization and step-by-step solutions.

f(x) = x³ - 3x + 1

Watch how definite integrals represent accumulated area with interactive function controls and graph highlighting.

∫ (2x² + 3x) dx

Model projectile motion, fluid dynamics, and energy transfer using differential equations.

v(t) = dx/dt

Solve maximum/minimum problems in economics, engineering, and machine learning with step-by-step analysis.

{[...Array(36)].map((_, i) => (

)).join('')}

Explore functions with multiple variables and their applications in 3D space visualization.

{[...Array(81)].map((_, i) => (

)).join('')}

Solve and visualize solutions to ordinary and partial differential equations with real-world mapping.

dy/dx = x² + y

Summarize infinite series and analyze convergence with interactive tests.

Σ ∞ₙ aₙ