Page 4 - Calculus for the Clueless, Calc II
P. 4
17. Major theorem: given f(x) = ln x; then f'(x) = 1/x. Proof (worth looking at):
Definition of derivative
Rule 6
Normal trick I—multiply by I = x/x
Algebra
Rule 7
Use trick 2, As
Rule 12
Rule 8
This theorem is important, since it has a lot of log rules together with two normal math tricks. The theorem
gives us the following result:
