The easy access to powerful technology makes lots of experimentation easy. You can try things out before you have mastered the ideas and techniques to get even more comfortable with new ideas. The courses treat many topics in different ways. There is no section in the courses devoted to just manipulating trig functions, their dervatives and integrals, and the useful identities that make many calculations work. Instead, Trig and exponential functions and complex numbers appear in most lessons throughout the course.
Students tend to understand it, how it is derived, and how to use it.
Some people say that the main reason to study calculus is to understand what differential equations do for us in modelling all sorts of processes. More than that, it is highly unlikely that a student who has never seen a differential equation before will see immediately that the equation is telling the reader how some quantities are growing. Differential Equations appear for study in each and every course here. Similarly to trig and exponential functions, they are simply part of the meat of the whole course. Ask any mathematically literate person about the Mean Value Theorem .