If $X = A imes B$ and $\mathrm{\Delta}X$ and $\mathrm{\Delta}A$ and $\mathrm{\Delta}B$ are maximum absolute errors in $X,$ $A$ and $B$ respectively, then the maximum relative error in $X$ is given by

Question

If $X = A 	imes B$ and $\mathrm{\Delta}X$ and $\mathrm{\Delta}A$ and $\mathrm{\Delta}B$ are maximum absolute errors in $X,$ $A$ and $B$ respectively, then the maximum relative error in $X$ is given by

Dr. Abubacker · Accepted Answer

When two quantities are multiplied, their maximum relative errors are added up.

Q. If $X = A \times B$ and $\mathrm{\Delta}X$ and $\mathrm{\Delta}A$ and $\mathrm{\Delta}B$ are maximum absolute errors in $X,$ $A$ and $B$ respectively, then the maximum relative error in $X$ is given by

Explanation

Reviewed by Dr. Abubacker

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