[Solved] SOLVED: Programming Assignment 1 Symbolic Differentiation solution

Expert Systems / Heuristic ProgrammingRead Example: Symbolic Differentiation from the Structure and Interpretation of Computer Programs by Abelson and Sussman. This describes writing a symbolic differentiation capability in Scheme. Remember that Racket is based on Scheme and the code should run with little modification in Racket.CSCI 4800 UndergraduatesImplement the code discussed in the reading. Then, do the first two Exercises in the reading: (1) extend the basic differentiator to handle more kinds of expressions; and (2) extend the differentiation program to handle sums and products of arbitrary numbers of (two or more) terms.CSCI 5800 GraduatesB-level grade. Same as above, but make the code extensible. That is, store the differentiator for a function in a (hash) table using the function name (e.g., + or *) as a key and provide a suitable syntax for defining a differentiator.A-level grade. B-level grade capability and separate out the simplification code from the differentiator code and provide a suitable syntax for defining a simplifier. Note that you only have to use information for a specific function to perform the simplification. That is, it may not be perfect, but it should be good enough.SpecificsAs well as the code and examples, provide a short write up on your program particularly your solutions to the Exercises.Graduates may do just the CSCI 4800 problem with a C-level grade. It might be good to start with that anyway.Undergraduates may do the Graduate B-level problem for a bonus of up to 5 points or the Graduate Alevel problem for a bonus of up to 10 points. But, they will be graded with the strictness given to graduate-level work.