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Application Of Derivatives

Question
CBSEENMA12035384

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

Solution

g(x) = log x,     x>0,                straight g apostrophe left parenthesis straight x right parenthesis space equals space 1 over straight x
Now,   1 over straight x greater than 0 space space as space straight x space greater than 0 space space space space space space space space space space space space space space space space space space space space space space therefore space space space straight g apostrophe left parenthesis straight x right parenthesis space not equal to space 0 space space for space any space straight x space greater than space 0
therefore space space space space straight g left parenthesis straight x right parenthesis space has space neither space maxima space nor space minima.