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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives2 Marks
Question
Prove that the function does not have maxima or minima: g(x) = log x
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Answer

g(x) = log x
$\Rightarrow g^{\prime}(x)=\frac{1}{x}$ 
Since, log x is defined for a positive number x,
g'(x) > 0 for any x.
Therefore, there does not exist c $\in$ R such that f'(c) = 0
Hence, function f does not have maxima or minima.

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