Home
Class 12
MATHS
Find the greatest & least value of f(...

Find the greatest & least value of
`f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x ` in `[(1)/(sqrt(3)), sqrt(3)]`.

Answer

Step by step text solution for Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x in [(1)/(sqrt(3)), sqrt(3)]. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 3 ( Subjective ) COMPREHENSION|4 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-I ) Previous Year|4 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) MIXED PROBLEMS|5 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and least value of (sin^(-1)x)^(3)+(cos^(-1)x)^(3)

the greatest and least values of (sin^(-1)x)^(2)+(cos^(-1)x)^(2)

Knowledge Check

  • The greatest and least values of (sin^(-1)x)^2+(cos^(-1)x)^2 are, respectively

    A
    `pi^4/4` and 0
    B
    `pi/2` and `(-pi)/2`
    C
    `(5pi^2)/4` and `(pi^2)/8`
    D
    `(pi^2)/4` and `(-pi^2)/4`

    • Similar Questions

    Explore conceptually related problems

    The greatest value of the function f(x)=tan^(-1)x-(1)/(2)log x in [(1)/(sqrt(3)),sqrt(3)] is

    Find the greatest and least values of f(x)=x^(2)log x in [1,e]

    Find the greatest and least values of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3,-1 le x le 1

    Find the greatest and least values of function f(x)=3x^(4)-8x^(3)-18x^(2)+1

    Find the greatest and least values of f(x) =x^(2) -12x " "X in [-1,3] .

    Find greatest and least values of f(x)=(a^(2))/(x)+(b^(2))/(1-x),x in(0,1)(a,b>0)

    Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^(2)+3x+2))]

    Home
    Profile