Home
Class 12
MATHS
The greatest and least values of f(x)=ta...

The greatest and least values of `f(x)=tan^(-1)x -(1)/(2) ln x ` on `[(1)/(sqrt(3)),sqrt(3)]` are

A

`f_("min")=sqrt(3)-1`

B

`f_("max")= pi/6 +(1)/(4) ln 3`

C

`f_("min")=pi/3-(1)/(4) ln 3`

D

`f_("max")=pi/2 +ln 5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

If f(x) =tan ^(-1)x-(1)/(2)log x . Then -

The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

Discuss the global maxima and global minima of f(x)=tan^(-1) x- (log)_e x in [1/(sqrt(3)),sqrt(3)]

The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

The difference between the greatest and least values of the function f(x)=cosx+1/2cos2x-1/3cos3x , is

The least value of the function f(x)= cos^(-1)x^2 in the interval [-1/sqrt2,1/sqrt2] is

IF x is real , find the greatest and the least value of : (x^2-2x+2)/(x^2+3x+9)

IF x is real , find the greatest and the least value of : (x^2+14x+9)/(x^2+2x+3)

The value of int (tan (log x))/(x)dx is-

The value of int_(-(1)/(2))^((1)/(2)) cos x log((1-x)/(1+x))dx is -

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  2. If a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx veca...

    Text Solution

    |

  3. If the tangent at the point P with co-ordinates (h, k) on the curve y^...

    Text Solution

    |

  4. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

    Text Solution

    |

  5. Three unequal positive numbers a, b, c are such that a, b, c are in G....

    Text Solution

    |

  6. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

    Text Solution

    |

  7. Let R be the real line. Let the relations S and T on R be defined by ...

    Text Solution

    |

  8. The plane lx + my = 0 is rotated about its line of intersection with t...

    Text Solution

    |

  9. The points of intersection of two ellipses x^(2)+2y^(2) -6x-12y+20=0 a...

    Text Solution

    |

  10. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

    Text Solution

    |

  11. If |z+i|-|z-1|=|z|-2=0 for a complex number z, then z =

    Text Solution

    |

  12. |(x, 3x+2,2x-1),(2x-1,4x,3x+1),(7x-2,17x+6,12x-1)|=0 is true for

    Text Solution

    |

  13. The remainder when 7^(7^(7^(...^(7))))(22 times 7) is divided by 48 is

    Text Solution

    |

  14. int dx/((2+x)sqrt(1+x) =

    Text Solution

    |

  15. A plane meets the co-ordinate axes at the points A, B, C respectively ...

    Text Solution

    |

  16. Let P be a variable point on a circle C and Q be a fixed point outside...

    Text Solution

    |

  17. underset(nrarrinfty)lim (sqrt1+sqrt2+.......+sqrt(n-1))/(nsqrtn) = ?

    Text Solution

    |

  18. Let f(x)={(0", if"-1 le x lt 0),(1", if "x =0),(2", if "0 lt x le1):} ...

    Text Solution

    |

  19. The greatest and least values of f(x)=tan^(-1)x -(1)/(2) ln x on [(1)...

    Text Solution

    |

  20. Let f and g be periodic functions with the periods T(1) and T(2) respe...

    Text Solution

    |