What is the difference between classical and neoclassical economics?

Classical economics is a school of thought in economics, which was established between the 18th and 19th centuries. The critical objective under classical economics was to transit from monarchy rule to capitalism. On the other hand, neoclassical economics focused on the supply and demand for products and services. Classical economics uses the cost of production as the main factor determining the levels of prices while neoclassical economics use product value as the main factor to determine price levels. Additionally, neoclassical economies take the demand and supply factors as the main factors for even distributing resources. Moreover, classical economics is focused on political freedom compared to neoclassical economics, which indulges consumption.