Find 
by implicit differentiation. 
Definitions:
Lorenz Curve
A graphical line representing a society’s deviation from equal wealth allocation.
Gini Index
A measure of statistical dispersion intended to represent the income inequality or wealth inequality within a nation or a social group.
Kuznets Curve
A hypothesized relationship that suggests inequality in wealth and income increases during the early stages of economic development, then decreases as a country becomes more developed.
Industrial Societies
Societies characterized by a reliance on mechanized labor to create material goods, representing a shift from agrarian economies.
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