Solve the problem.For functions of the form y = axn, show that the relative uncertainty in the dependent variable y is always times the relative uncertainty in the independent variable x.

Question

What will be an ideal response?

Answer 1

dy = nax^n-1 dx, therefore  =  = n.
Therefore,  = . Thus, the relative uncertainty in the dependent variable y is always  times the relative uncertainty in the independent variable x.