Provide an Appropriate Response $y = a x ^ { n }$

question 212

Essay

Provide an appropriate response.
-For functions of the form $y = a x ^ { n }$ , show that the relative uncertainty $\left| \frac { d y } { y } \right|$ in the dependent variable $y$ is always $| \mathrm { n } |$ times the relative uncertainty $\left| \frac { \mathrm { dx } } { \mathrm { x } } \right|$ in the independent variable $x$ .

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