General Engineering Introduction/Error Analysis/Calculus of Error/multiply proof

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Multiplying by a Constant Proof

if then

Algebra Proof[edit | edit source]

start with the formula: dependent equals constant times independent

substitute the measured value of x (and x's error) and set equal to y plus the unknown error in y that we are interested in:

subtract the top equation from the bottom:

and are left with the equation: error in y equals constant times error in x

Calculus Proof[edit | edit source]

start with the formula: dependent equals constant times independent

then