3D Graphing Calculator
Plot a surface z = f(x, y) in interactive 3D — rotate and zoom, free online.
Перетягніть поверхню, щоб обертати. Наприклад, x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)
Про цей калькулятор
A 3D graphing calculator plots a surface defined by z = f(x, y) as a rotatable wireframe. Enter an expression in x and y, such as sin(x) * cos(y) or x^2 - y^2, and drag to orbit the surface in three dimensions. Useful for visualising multivariable functions, saddle points and peaks.
The calculator sweeps x and y across a grid, evaluates your expression at each grid point to get a height z, and connects those heights into a mesh that stands up off the flat xy-plane. Dragging orbits the camera around the surface so you can look at it from any angle, and the zoom control moves you nearer or further away. This turns an abstract two-variable formula into a shape you can actually see — hills, valleys, ridges and the pass-shaped saddle points where a surface rises in one direction while falling in another.
For a worked example, z = x^2 - y^2 draws the classic saddle (Pringle) surface: along the x-axis it curves upward like a valley, while along the y-axis it curves downward, meeting at a saddle point at the origin. By contrast z = sin(x) * cos(y) produces a regular egg-carton of alternating bumps and dips. It is used in multivariable calculus to picture partial behaviour, locate maxima, minima and saddle points, and understand the geometry of a function of two variables.
Часті запитання
Як мені ввести функцію 3D?
Type an expression in both x and y, for example x^2 - y^2 or sin(x)*cos(y). The calculator evaluates it across a grid and draws the resulting surface.
Чи можна повернути поверхню?
Так. Перетягніть поверхню, щоб обертати її, і скористайтеся засобом керування масштабом, щоб рухатися все ближче або далі.
Що означає z = f'x?
Це означає, що висота з точки на кожній поверхні виконується з точки Х і у координат.
Як мені побудувати сідло?
Enter x^2 - y^2. It rises along one axis and falls along the other, meeting at a saddle point at the origin — the standard example of a surface that is neither a peak nor a valley there.
Які поверхні я можу візуалізувати?
Все, що ви можете записати як вираз у x і y: параболоїди (x^2 + y^2), сідла (x^2 - y^2), брижі (sinx) * cosy) і комбінації триг, сил, коренів і журналів.
How is this different from the 2D graphing calculator?
The 2D tool plots y = f(x) as a curve on a flat grid. This 3D tool plots z = f(x, y) as a surface in space, so it shows how a value depends on two inputs at once rather than one.
Результати - це не фінансові, медичні чи податкові поради, а загальні вказівки.