I need to prepare presentation about calculus, paying special attention for examination of function of one variable. I am not very advances in the topic, but I'm looking for book which contains interesting, not fundamental, examples from fields like continuity of functions, limits, differentiability.
Unfortunately, I didn't learn from english book (english isn't my national language), so books, from which I learned, contained examples for beginners, which could show just problem. According to differentiability there was just mention that, for example, function y=|x| is not differentiable in x=0, and I'm looking for examples not so obvious. For example Weierstrass function is interesting example in that field.
I didn't find book more complicated, different than basics for students. This could be student's book or notebook. I ask for help because I have no experience with foreign books for analysis, calcus.
I will be grateful, if someone decides to help me and to recommend a book
