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math.numerical-differentiation Calculator
Numerically differentiates a function using forward, backward, and central finite difference formulas, showing how step size h affects accuracy. Central differences are second-order accurate (error ∝ h²) vs. first-order (h) for forward/backward — use central differences unless only one-sided data is available.
Inputs
F X Minus H
Reference formula or conversion factor shown for context.
F X
Reference formula or conversion factor shown for context.
F X Plus H
Reference formula or conversion factor shown for context.
H
Reference formula or conversion factor shown for context.
Results
central difference f\
The arithmetic difference between the two values.
forward difference f\
The arithmetic difference between the two values.
backward difference f\
The arithmetic difference between the two values.
second derivative f\
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.