Function Grapher & Mathematical Analyzer
Plot any mathematical equation in real time. Pan, zoom, inspect slopes, roots, extrema, tangent lines, and definite integrals.
Key Properties & Extrema
Point Evaluator & Derivative
Definite Integral Area (∫[A→B])
Computed via 1,000-slice Simpson's rule quadrature.
Trigonometric Functions
Visualize period $T = 2\pi$, amplitude, and phase shifts for $\sin(x)$, $\cos(x)$, and asymptotic jumps for $\tan(x)$ at $x = \pm\pi/2, \pm 3\pi/2$.
Slopes & Tangent Lines
Hover anywhere on the curve to see the real-time instantaneous tangent line and rate of change $m = f'(x_0)$ following your cursor.
Definite Integral Areas
Enter interval $[a, b]$ to shade and calculate the exact net geometric area $\int_a^b f(x)dx$ under any curve using Simpson's quadrature.