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By the late 1970s, the size of many projects was near or at the limits of what structured programming methodologies and the C language could handle To solve this problem, a new way to program began to emerge This method is called object-oriented programming (OOP) Using OOP, a programmer could handle much larger programs The trouble was that C, the most popular language at the time, did not support object-oriented programming The desire for an object-oriented version of C ultimately led to the creation of C++ C++ was invented by Bjarne Stroustrup beginning in 1979 at Bell Laboratories in Murray Hill, New Jersey He initially called the new language C with Classes However, in 1983 the name was changed to C++ C++ contains the entire C language Thus, C is the foundation upon which C++ is built Most of the additions that Stroustrup made to C were designed to support object-oriented programming In essence, C++ is the object-oriented version of C By building upon the foundation of C, Stroustrup provided a smooth migration path to OOP Instead of having to learn an entirely new language, a C programmer needed to learn only a few new features before reaping the benefits of the object-oriented methodology C++ simmered in the background during much of the 1980s, undergoing extensive development By the beginning of the 1990s, C++ was ready for mainstream use, and its popularity exploded By the end of the decade, it had become the most widely used programming language Today, C++ is still the preeminent language for the development of high-performance system code It is critical to understand that the invention of C++ was not an attempt to create an entirely new programming language Instead, it was an enhancement to an already highly successful language This approach to language development beginning with an existing language and moving it forward established a trend that continues today.

If you are new to programming, it is important to learn how to interpret and respond to errors that may occur when you try to compile a program Most compilation errors are caused by typing mistakes As all programmers soon find out, accidentally typing something incorrectly is quite easy Fortunately, if you type something wrong, the compiler will report a syntax error message when it tries to compile your program This message gives you the line number at which the error is found and a description of the error itself Although the syntax errors reported by the compiler are, obviously, helpful, they sometimes can also be misleading The C# compiler attempts to make sense out of your source code no matter what you have written For this reason, the error that is reported may not always reflect the actual cause of the problem In the preceding program, for example, an accidental omission of the opening curly brace after the Main( ) method generates the following sequence of errors when compiled by the csc command-line compiler (Similar errors are generated when compiling using the IDE)

Create a Draft on Paper (or on Your Computer) 25

ExampleCS(12,21): error CS1002: ; expected ExampleCS(13,22): error CS1519: Invalid token '(' in class, struct, or interface member declaration ExampleCS(15,1): error CS1022: Type or namespace definition, or end-of-file expected

Clearly, the first error message is completely wrong, because what is missing is not a semicolon, but a curly brace The second two messages are equally confusing The point of this discussion is that when your program contains a syntax error, don t necessarily take the compiler s messages at face value They may be misleading You may need to second guess an error message in order to find the problem Also, look at the last few lines of code immediately preceding the one in which the error was reported Sometimes an error will not be reported until several lines after the point at which the error really occurred

23 Continuity 24 The Derivative 25 Rules for Calculating Derivatives 251 The Derivative of an Inverse 26 The Derivative as a Rate of Change Quiz

Part I:

using System;