UnitCompiler
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Interactive Visual Studio Live Graph Maker & Analyzer

Function Grapher & Mathematical Analyzer

Plot any mathematical equation in real time. Pan, zoom, inspect slopes, roots, extrema, tangent lines, and definite integrals.

f(x) =
(Optional)
g(x) =
Presets:
1x
x: 0.00
f(x): 0.00
Slope m: 0.00
👆 Drag to pan • ✌️ Pinch to zoom
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Key Properties & Extrema

Y-Intercept f(0): 0
X-Roots (f(x) = 0): 0, ±3.14
Local Maxima / Peak: (1.08, 0.77)
Local Minima / Valley: (-1.08, -0.77)
Symmetry: Odd Function f(-x) = -f(x)
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Point Evaluator & Derivative

f(x₀): 0.7568
Tangent Slope f'(x₀): 0.0841
Curvature f''(x₀): -1.034
∫

Definite Integral Area (∫[A→B])

Interval [a, b]: to
Net Area (∫ f(x) dx): 1.333

Computed via 1,000-slice Simpson's rule quadrature.

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Trigonometric Functions

Visualize period $T = 2\pi$, amplitude, and phase shifts for $\sin(x)$, $\cos(x)$, and asymptotic jumps for $\tan(x)$ at $x = \pm\pi/2, \pm 3\pi/2$.

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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.