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math.numerical-derivative Calculator
Approximates a function's derivative numerically using forward, backward, and central difference formulas at a given step size h. The central difference formula (O(h²) accuracy) is twice as accurate as forward/backward differences (O(h)) for the same step size.
Inputs
X
Reference formula or conversion factor shown for context.
H
Reference formula or conversion factor shown for context.
Func
Reference formula or conversion factor shown for context.
Order
Reference formula or conversion factor shown for context.
Results
first derivative
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
second derivative
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
exact first derivative
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
error in d1
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
function
The type of mathematical function or operational classification determined by the calculation.