Question

find the relative error of y, if y=x^2

Answer 1

Answer:

Relative error (RE)—when used as a measure of precision—is the ratio of the of a measurement to the measurement being taken. In other words, this type of error is relative to the size of the item being measured. RE is expressed as a percentage and has no units.

As a formula, that’s:

RE = absolute error / measurement being taken”

so, relative error of y is=dy/y

Now, y=x^2

lny=2lnx

differentiating both sides,

dy/y= 2dx/x