Explora ejemplos curados de animaciones de Functions en Math, con escenas reutilizables de Manim, pruebas visuales e ideas listas para enseñar.
Math · 7 animaciones
This animation introduces linear functions of the form y = mx + b by visually demonstrating how the slope (m) and y-intercept (b) affect the graph. A line rotates as the slope changes from -2 to 2, then shifts vertically as the intercept changes from -3 to 3. A rise/run right-triangle indicator reinforces the geometric meaning of slope.
This animation establishes the relationship between exponential and logarithmic functions. It plots y = 2^x and y = log₂(x) side-by-side reflected across y = x, demonstrating inverse symmetry. A concrete numeric example (2³ = 8 → log₂(8) = 3) is shown with perpendicular guide lines, making the inverse relationship tangible.
This animation explores the standard form of a quadratic y = ax² + bx + c by animating each coefficient. Students see how 'a' controls width and direction, 'c' shifts the parabola vertically, and the vertex traces a path as parameters change. The formula updates in real time alongside the graph.
Visualizes the chain rule through three stacked number lines representing the input x, the intermediate value g(x), and the output f(g(x)). Animated small changes Δx propagate through the composition, making the multiplicative structure of the chain rule visually intuitive.
Builds intuition for the derivative by animating the limit definition. A secant line between two points on f(x) = x² is drawn and animated as h approaches 0, visually converging to the tangent line. The difference quotient formula transforms into the derivative formula.
Demonstrates how a square wave can be decomposed into and reconstructed from sine waves. Individual harmonic components animate in one by one, and the running partial sum curve updates to show convergence toward the square wave.
Demonstrates how the Taylor series builds increasingly accurate polynomial approximations of cos(x) around x=0 by successively adding terms. Each new term is animated in a new color, revealing how the approximation extends further from the center.
