Rejected labour theory which concludes that the value of a product is determined by the cost of the FOPs (emphasis on production)
Value of a good is determined by the value that consumers place on the good and the amount of utility it brings them (emphasis on demand)
Marginal decision is consumers decide whether to consume the next unit of a good depending on utility and producers choose whether to consume the next unit depending on the production cost.
Law of diminishing marginal utility says that the next unit always gives you less utility as the first one. If you're thirsty the pleasure the first bottle of water gives is not the same as the pleasure derived from the 3rd bottle.
Neoclassical Economists put more emphasis on the demand side, and created functions to explain the interaction of supply and demand.
Marshall First visually presented the supply and demand curves
Marshall used diagrams to explain his theories

Consumers are assumed to want maximum utility and producers are assumed to want maximum profits
Assumptions built into the neoclassical model are referred to as "rational choice theory" (Consumers have full information and make the judgment instantly about the marginal utility of consuming another unit of the product)