Question

Prove that the following functions do not have maxima or minima:

$g\left(x\right)=\log x$

Answer 1

Domain for $\log x$ is $x>0$

Here $f^{{}^{\prime }}\left(x\right)=\frac{1}{x}$ which is always positve in given domain. Which means log$x$ is a increasing function and hence will not have any maxima or minima.