// multi-utility computation suite · offline · instant · precise
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math.lagrange-interpolation Calculator
Constructs the Lagrange interpolating polynomial through a given set of points and evaluates it at a target x. Lagrange interpolation is numerically unstable at high degrees (Runge's phenomenon) — splines are preferred for many points.
Inputs
X1
Reference formula or conversion factor shown for context.
Y1
Reference formula or conversion factor shown for context.
X2
Reference formula or conversion factor shown for context.
Y2
Reference formula or conversion factor shown for context.
X Eval
Reference formula or conversion factor shown for context.
Results
interpolated y at x=
The value at the specified point or condition.
L1 basis
Reference formula or conversion factor shown for context.
L2 basis
Reference formula or conversion factor shown for context.
slope dy/dx
The gradient -- rise divided by run. In finance, rate of change per unit time.