Central Difference Derivative Calculator

Numerical Differentiation using Central, Forward & Backward Difference

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Input Data

Data Points (t, s) - one pair per line or comma-separated

Formulas Used:
v(t) = [s(t+h) - s(t-h)] / 2h
a(t) = [s(t+h) - 2s(t) + s(t-h)] / h²

Position s(t) - Input Data

Velocity v(t) = ds/dt - First Derivative

Acceleration a(t) = d²s/dt² - Second Derivative