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if i were to trade tokens on uni swap for example from die to usdc the amount of tokens that i would get in return is calculated by a simple equation times y equals k however if i were to do the same trade using curb then the equation is more complex so in this video im going to explain how the last equation is derived and in the process youll have a better understanding of how pricing on curb is determined well start with simple ideas and build our way up to this equation imagine we have an exchange where one die can be traded for one usdc this can be expressed using x y equals c this is the graph of x plus y equals c lets say we start out here with 50 and 50 usdc so in this case x will equal 50 y will equal 50 so our c will equal 100. now if i were to sell 20 die for usdc since one die is trading for one usdc i put in 20 die so i get 20 usdc and you can see that happening in this graph we started out with 50 and we added 20 die so the amount of usdc that needs to be inside here