Calculus I: The Foundation

Master Calculus I
Visually.

Explore the mathematics of change. From instantaneous rates to the area under a curve, master the fundamentals with interactive visualizations and high-fidelity mathematical rendering.

Limits

Understanding what happens as we approach infinity or a specific point, forming the basis of continuity.

$$\lim_{x \to a} f(x) = L$$

Derivatives

The exact rate of change, defining the slope of a tangent line at any point on the curve.

$$\frac{dy}{dx} = f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$

Integrals

Accumulation of quantities over an interval—the elegant inverse of differentiation (FTC).

$$\int_{a}^{b} f(x) \, dx = F(b) - F(a)$$

3D Symbol: The Pi Constant ($\pi$)

Interact with the Pi symbol. Use the mouse to **rotate** and scroll to **zoom**.
Rendering using true 3D TextGeometry.

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Interactive Function Lab

Visualize how functions behave in real-time. Select a function and observe its shape, roots, and curvature instantly.

Power Rule Quiz

Practice differentiating polynomials using the Power Rule.