Dear 100 Hour Board folks who've taken calculus,
I've learned that for many calculus textbooks, there are two nearly identical versions, with one introducing the natural log only after integration has been covered, formally defining it as the integral of 1/x, and defining e^x as the antilog of ln(x), and the other version being the same book title but appending "Early Transcendentals" and introducing e^x and ln(x) more informally earlier on, with application rules for differentiation of those types of functions instead of theoretical construction of those rules.
Which approach was used when you learned?
When I took it, I had the 'Early Transcendentals' book where we learned about natural logs and e^x right near the beginning of the semester. I liked it like this because they aren't difficult concepts and they make it way nicer later on when you're learning how to differentiate logarithmic functions.
I think at least here at BYU, they've been using the Early Transcendentals for a while now.