Q4 of 168 Page 231

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

g(x) = log x

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.


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