State the concept of library and user defined functions and their advantages.

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In programming, functions are reusable pieces of code that perform specific tasks. There are two types of functions: Library functions and User-define functions.

Library function

Library functions are pre-written functions that are included in programming languages or libraries. These functions have been created and tested by experienced programmers and are available for other programmers to use. Some examples of library functions include print( ) in Python, Math.random( ) in JavaScript and printf( ) in C.

Advantages of using library functions:

1. They are already written and tested, which saves time and reduces the likelihood of errors.
2. They are often optimized for performance and memory usage. 
3. They provide a consistent interface for common programming tasks.
4. They are often well documented, Making them easier to understand and use.

User-define function

User defined functions, on the other hand are created by programmers to solve specific problems. These functions can be designed to perform any task and can be customized to fit specific needs.

Advantages of using user-define functions:

1. They can be tailored to specific requirements, making them more flexible then library functions.
2. They can help to simplify complex programs by breaking them down into smaller more manageable pieces of code.
3. They promote code reusability and modularity.
4. They can improve code readability and make programs easier to maintain.

In summary, library function and user-defined functions are both important in programming. Library functions provide a set of pre-written and tested functions that can be used to perform common programming task, while user-defined functions can be created to solve specific problems and promote code reusability and modularity.