How to calculate the growth rate of the variable

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Reference no: EM13209389

claimed that if z+x/y, then g(z) = g(x)-g(y), where g(.) represent the growth rate of the variable in question. Prove this result in a formal way using two methods.

First, repeat the method that we used in class to prove that if z = xy, then g(z)=g(x)+g(y)

Second, notice that if z=x/y, then z= x*(1/y). Hence, using the formula mentioned above, g(z)=g(x)+g(1/y). So all you need to do is find a clever way to calculate the growth rate of the variable 1=y, namely g(1=y).

Reference no: EM13209389

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