Most solution manuals simply give you the final answer. The (written by Albert Herr, et al.) does something different. It provides annotated steps . This is where the keyword "better" becomes critical.
For example, for $f(x) = x^3$, the solution doesn't just state $3x^2$. It expands $(x+h)^3$, subtracts $x^3$, divides by $h$, then takes the limit. This foundational step builds muscle memory for more complex derivatives later. calculus by howard anton 6th edition solution better
Attempt the problem for at least 15 minutes before looking at the solution. Most solution manuals simply give you the final answer