The Way To Study The Derivative Of Functions Based On GA-NN

The function's derivative and differential are important parts of college,and Talyor formula is the most important part of calculous.It is the extensive of calculous intermediate value theorem, it is used in very broad field such as judging the function's monotonicity,function's extremism value,approximate caculation,error estimation and studying the function's limit.in this thsis,the purpose is to use GA-NN to study the way to solve the derivative of function.Firstly,the thesis summarizes the relative theorems of the function's derivative and the important application in life.then generalizes the current development of nerual network and Genetic Algorithm. It also concludes the principle of math-neural network.The thesis gives a new method to solve the derivative value , which is GA-Network. it makes use of the powerful global exploration ability of GA and self-learning of Neural Network. Using this method ,the thesis study the elementary function's first derivative and higher order detivative, discuss the properties such as monotonicity,extremism value,discuss the multi-variables'partial derivative and derivative.by caculating some examples,we can see that the method is generally,it provides a kind of method and a direction to solve the function's approximate derivative lately...