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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.

 

answered Aug 7, 2013 by sreemathi.v
edited Aug 19, 2013 by vijayalakshmi_ramakrishnans
 

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