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

This is second part of multipart q4

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• $\large\frac{d}{dx}$$(\log x)=\large\frac{1}{x} f(x)=\log x Differentiating with respect to x we get, f'(x)=\large\frac{1}{x} when f'(x)=0 \large\frac{1}{x}$$=0$
Which is not defined for any real $x$.
Hence $f(x)=\log x$ does not have maxima and minima.

edited Aug 19, 2013