Plot mathematical functions with zoom, pan, and trace. Supports polynomial, trigonometric, exponential, and logarithmic functions with derivative overlay.
Function Plotter turns an expression in x into an interactive Cartesian graph. Zoom and pan expose different intervals, while trace lets you inspect coordinates along the displayed curve. Enabling the derivative overlay places the function's rate of change on the same view. It is intended for polynomial, trigonometric, exponential, and logarithmic functions. The important surprise is that the window controls what you can see: a root, turning point, or asymptote outside the current range has not ceased to matter.
A concrete input and expected output from the current implementation.
Input
x
Expected output
A straight line y = x through (0, 0). Tracing the curve at x = 2 gives y = 2.
For f(x) = x, the vertical coordinate always equals the horizontal coordinate. Its slope is 1, so enabling the derivative overlay adds the horizontal line y = 1.
The entered expression defines y = f(x): each horizontal coordinate x is paired with the function value f(x), which determines vertical position. Polynomial, trigonometric, exponential, and logarithmic expressions can be inspected on Cartesian axes. Panning shifts the visible coordinate region, and zooming changes its scale. Neither operation changes the expression or its mathematical domain.
Trace follows the plotted function so you can inspect an approximate coordinate in the current view. The derivative overlay adds f'(x) for comparison with f(x). A point where the derivative curve meets y = 0 marks zero slope when the derivative exists, but zero slope alone does not prove that f has a local maximum or minimum.
No. A displayed x-axis crossing and its trace coordinate can estimate or bracket a root, but plotted pixels do not establish an exact solution. If the required answer is an exact value, confirm it algebraically. Zoom around suspected roots because a curve that only touches the axis may be easy to overlook in a wide window.
The overlay represents slope, not another copy of f. For f(x) = x, the original height changes while the derivative stays at 1. Over an interval where the derivative remains positive, the function increases; where it remains negative, it decreases. A crossing of the two curves only indicates f(x) = f'(x) there, not a turning point.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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