Data Structures and Algorithms 4th Edition.

Chapter 5 Section 13

Programming Assignment 2

Please provide sufficient C++ Coding.

Write a program to do symbolic differentiation. Use the following formulas: C+ + Coding Rule 1: (fg)'-fg f9 Rule 2: (fg)'fg Rule 3: ( Rule 4: (az")na1 g2 An example of application of these rules is given below for differentiation with respect to x: 523 - 10a2y + 100 ((10)(ooy'by Rule 2 (-10a2y)' by Rule 4 15 15a2 + (-102 y)' by Rule 3 15a-1022y)' by Rule 4 5(-10z2) y (-10z2) y by Rule 1 15a2 20ry 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 Remember that all lab reports should use the lab report format Write a program to do symbolic differentiation. Use the following formulas: C+ + Coding Rule 1: (fg)'-fg f9 Rule 2: (fg)'fg Rule 3: ( Rule 4: (az")na1 g2 An example of application of these rules is given below for differentiation with respect to x: 523 - 10a2y + 100 ((10)(ooy'by Rule 2 (-10a2y)' by Rule 4 15 15a2 + (-102 y)' by Rule 3 15a-1022y)' by Rule 4 5(-10z2) y (-10z2) y by Rule 1 15a2 20ry 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 Remember that all lab reports should use the lab report format