If x gt 0 , the maximum value of (log x)...

If `x gt 0` , the maximum value of `(log x) /x` is

A

e

B

2e

C

`1//2e`

D

`1//e`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MAXIMA AND MINIMA
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos
MAXIMA AND MINIMA
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos
MAXIMA AND MINIMA
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos
MAXIMA & MINIMA
AAKASH SERIES|Exercise EXERCISE-III|35 Videos
MEAN VALUE THEOREMS
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)

If xgt0 then the interval of monotonically increasing of f(x)=2x^(2)-l...
Text Solution
|
f(x)= In (lnx) is increasing in
Text Solution
|
If x gt 0 , the maximum value of (log x) /x is
Text Solution
|
f(x)=(logx)/(x)(xgt0) is increasing in
Text Solution
|
f(x)=log(a)x(xgt0) is decreasing function if
Text Solution
|
The function x+log((x)/(1+x)) is increasing when x belong to the inte...
Text Solution
|
f(x)=log(1-x^(2)) is dereasing in
Text Solution
|
f(x)=x.e^(-x) is decreasing in
Text Solution
|
f(x)=2.e^(x^(2)-4x)) decreases in
Text Solution
|
f(x)=x-e^(x) is increasing in
Text Solution
|
If alt0 the function e^(ax)+e^(-ax) is a monotonically decreasing func...
Text Solution
|
If xgt0 then which of the following is true
Text Solution
|
The set of all x for which sin x le x is
Text Solution
|
I : If f'(a)gt0 then f is increasing at x=a II : If f is increasing ...
Text Solution
|
The function cosh ( cos x) decreases in
Text Solution
|
The function sinh (sin x) increasing in
Text Solution
|
f(x)=tan^(-1)(sinx) is decreasing in
Text Solution
|
f(x)=sinx-ax is decreasing in R if
Text Solution
|
tan x gt x when x lies in
Text Solution
|
f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in
Text Solution
|