Universal Equation Plotter Calculator
Type an equation and let the calculator detect whether it is an explicit function, implicit relation, inequality, polar curve, parametric curve or 3D surface. The graph updates interactively, automatically fits useful visible values, and adds numerical analysis without sending your equation to another service.
Equation input
Enter one equation per line. Use ^ for powers and ordinary function names such as sin, cos, sqrt, exp and ln.
Load a verified example
Interactive graph
Waiting for a valid equation
Equation properties and sampled values
How the automatic equation plotter works
The calculator parses mathematical notation into a controlled expression tree rather than executing the entered text as code. It detects variables and equation structure, samples the selected domain, filters undefined or non-real values and sends the resulting coordinates to an interactive graph.
Explicit, implicit and inequality graphs
An explicit equation gives one dependent value directly, such as y=x^2. An implicit equation such as x^2+y^2=25 is plotted as the zero contour of the difference between its two sides. Inequalities use the same grid but shade the points that satisfy the comparison.
Polar, parametric and 3D equations
Polar mode interprets r as a function of theta. Parametric mode expects an x(t) and y(t) pair separated by a semicolon or line break. Surface mode samples z=f(x,y) on a two-dimensional grid and renders a rotatable three-dimensional surface.
Roots, extrema and derivative overlays
For explicit real-valued functions, the calculator scans the selected interval for sign changes, refines roots by bisection and estimates extrema and inflection points from numerical derivatives. The derivative button overlays first- and second-derivative curves and also displays the parsed derivative expression when available.
Supported notation and examples
Arithmetic
+ − * / ^, parentheses and implicit multiplication such as 3x or 2pi.
Functions
sin, cos, tan, sqrt, abs, exp, ln, log10, min, max and common inverse or hyperbolic functions.
Constants
pi, e, tau and the golden ratio phi.
Variables
x for ordinary graphs, x,y for implicit or 3D plots, theta for polar curves and t for parametric curves.
Mathematical limitation: not every symbolic statement defines a real graph over every domain. The calculator reports parse errors, undefined intervals and unsupported equation forms instead of inventing coordinates.
Equation plotter calculator questions
Can I graph more than one equation?
Yes. Put explicit functions on separate lines. Each valid expression is drawn as its own trace and included in the sampled-value export.
Can it plot a circle without solving for y?
Yes. Enter an implicit relation such as x^2 + y^2 = 25. The calculator draws the zero contour directly.
Can it graph partial derivatives?
The equation plotter focuses on visualization. It can differentiate explicit expressions with respect to a selected graph variable. The separate differential-equation solver handles broader derivative and partial-differential workflows.
Does it send equations to an external service?
No. Parsing, sampling and graph preparation run in the browser. The plugin contains its plotting library locally and makes no calculation request to a remote API.