Limits and errors

Error Propagation Calculator

Estimate how measurement uncertainty affects a calculated quantity.

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Formula

delta f approx f'(x)delta x; for Q=Cx^a y^b, delta Q/Q approx a delta x/x + b delta y/y

Result

Worked substitution


          

Error propagation is a local estimate. It works best for small measurement uncertainty.

Read the result

The percentage error is a local estimate based on differentials, so it is most reliable for small errors.

Where it helps

Use it for engineering measurements where input uncertainty matters as much as the nominal value.

Common slip

Signed error and worst-case absolute error answer different questions.

Try it

For Q = x^n, double n and notice how the relative error scales.