Prove that the following functions do not have maxima or minima: g(x) = log x

Question

Philoid · Accepted Answer

g(x) = logx

Since, log x is defined for a positive number x,

g’(x) > 0 for any x.

Therefore, there does not exist c ϵ R such that f’(c) = 0

Hence, function f does not have maxima or minima.

Prove that the following functions do not have maxima or minima:g(x) = log x