Data Structures and Algorithms 4th Edition.

Chapter 5 Section 13

Programming Assignment 2

Write a program to do symbolic differentiation. Use the following formulas: Rule 1: (f9)' fg f'g Rule 2: (f+g)-f' g Rule 3: Rule 4: (az")na1 An example of application of these rules is given below for differentiation with respect to x: 10z2y +100 (5r'), + (%) + (-10r2y), + (100),by Rule 2 1-10r v)' by Rule 4 15(el102)'by Rule 3 15x2 + (-10z2y)' by Rule 4 510a) 102)'y by Rule 1 15z220zy by Rule 4 First, run your program for polynomials only, and then add formulas for derivatives for trigonometric functions, logarithms, and so on, that extend the range of functions handled by your program