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Calculus Visualization
Explore differentiation, integration, and gradients using dodecet-encoded geometric constraints
Differentiation
Integration
Gradient Field
Select a function to visualize its derivative
Visualize numerical integration using Simpson's rule
3D visualization of gradient fields using dodecet encoding
Differentiation Controls
Function
f(x) = x²
f(x) = x³
f(x) = sin(x)
f(x) = eˣ
f(x) = ln(x)
Custom
Custom Function
X Range: ±
5
Resolution:
100
points
Show Tangent Line
Show Secant Approximation
Integration Controls
Function
f(x) = x²
f(x) = sin(x)
f(x) = eˣ
Lower Bound:
0
Upper Bound:
2
Segments (n):
10
Method
Simpson's Rule
Trapezoidal Rule
Riemann Sum
Gradient Field Controls
Surface Function
z = x² - y² (Saddle)
z = x² + y² (Bowl)
z = sin(x) * cos(y) (Wave)
z = |x| + |y| (Pyramid)
Field Density:
10
Show Surface
Show Gradient Vectors
Animate Gradient Flow
Theory
Computed Values