Question

What is the derivative of log(x)?

Answer 1

That depends on what base you intend.

`logx` is sometimes used for `log_10x`, `log_ex` and `log_2x`

`d/dx (log_b x) = 1/x 1/log_ex`

Using, `lnx = log_ex`, we write:

`d/dx (log_b x) = 1/x 1/lnb`