Free Trial

Safari Books Online is a digital library providing on-demand subscription access to thousands of learning resources.


  • Create BookmarkCreate Bookmark
  • Create Note or TagCreate Note or Tag
  • PrintPrint
Share this Page URL
Help

Chapter 2. The Derivative > Differentiability

2.3. Differentiability

• This section summarizes the concept of differentiability. (See the next section for the definition of the derivative.)

• A function is differentiable at any point where it has a derivative. A function that has a derivative at every point is differentiable everywhere. At any point where f(x) has a derivative, the function is continuous. There can be a point where f(x) is continuous but no derivative exists, such as where the graph turns a corner without a hole or jump.


  

You are currently reading a PREVIEW of this book.

                                                                                                                    

Get instant access to over $1 million worth of books and videos.

  

Start a Free Trial


  
  • Safari Books Online
  • Create BookmarkCreate Bookmark
  • Create Note or TagCreate Note or Tag
  • PrintPrint