Question

the function f(x)=log x does not have any maximum or minimum value true or false?​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

$\tt \:  \longrightarrow \: f(x) = log(x)$

☆ Differentiate w. r. t. x, we get

$\tt \:  \longrightarrow \: f'(x) \: = \: \dfrac{1}{x}$

☆ For maxima or minima

$\tt \:  \longrightarrow \: f'(x) = 0$

$\tt \:  \longrightarrow \: \dfrac{1}{x} = 0$

$\tt \:  \longrightarrow \: which \: is \: not \: possible$

$\tt \:  \longrightarrow \: Hence \: f(x) \: has \: no \: maximum \: and \: minimum \: value.$