Function f(x)=x ℓ n x has local maxima at x=

Question

Function f(x)=x ℓ n x has local maxima at x= (A) x=e (B) x=1 / e (C) x=1 (D) No local maxima

Tardigrade Admin · Accepted Answer

f prime(x)=ℓ n x+1 Local minima at x=(1/e) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/4d93b81dbcdfeace73eaa6e4ed891404-.png" /> No local maxima

Q. Function $f (x) = x ℓ n x$ has local maxima at $x =$

$x = e$

$x = 1/ e$

$x = 1$

No local maxima

$f^{'} (x) = ℓ n x + 1$
Local minima at $x = \frac{1}{e}$

No local maxima

Q. Function f(x)=xℓnx has local maxima at x=

x=e

x=1/e

x=1