Home
Class 11
MATHS
If y=(logx)^3 then (dy)/(dx)=...

If `y=(logx)^3` then `(dy)/(dx)`=

A

`(3(logx)^2)/x`

B

`3(logx)^2`

C

`((logx)^2)/x`

D

`(logx)^2`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Establish the following If x^(logy)=log x , then (dy)/(dx)=(y)/(x)(l-logx.logy)/(|log_(x)^(2)|)

If y = a^(a^x) then (dy)/(dx) =

Knowledge Check

  • If y =(logx)^(x) then (dy)/(dx) =

    A
    `(logx)^(x)[log(logx)+1/(logx)]`
    B
    `(logx)^(x)[log(logx)-1/(logx)]`
    C
    `-(logx)^(x)[log(logx)+1/(logx)]`
    D
    `-(logx)^(x)[log(logx)-1/(logx)]`

  • If y= x^(cosx) then (dy)/(dx)=

    A
    `x^(cosx)((cosx)/(x)+sinx.logx)`
    B
    `x^(cosx)((cosx)/(x)-sinx.logx)`
    C
    `-x^(cosx)((cosx)/(x)-sinx.logx)`
    D
    `-x^(cosx)((cosx)/(x)+sinx.logx)`

  • If y= f((2x+3)/(3-2x)) and f(x) = sin (logx) then (dy)/(dx)=

    A
    `12/(9+4x^2)cos(log((2x-3)/(3+2x)))`
    B
    `12/(9-4x^2)sin(log((2x-3)/(3+2x)))`
    C
    `12/(9-4x^2)cos(log((2x-3)/(3+2x)))`
    D
    `cos(log((2x-3)/(3+2x)))`

    • Similar Questions

    Explore conceptually related problems

    If y = (sinx)^(x) then (dy)/(dx) =

    If x+ y = sin(x+y) then (dy)/(dx) =

    If y= x ^(y) then (dy)/(dx) =

    If y =1+xe ^(y) then (dy)/(dx) =

    If y=x^((logx)^log(logx)) , then (dy)/(dx) is

    Home
    Profile