Home
Class 12
MATHS
The least value of the function f(x)= co...

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

A

`pi/3`

B

`pi/2`

C

`(-pi)/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Integrate the function (1)/(sqrt(x^(2)-1))

Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2) .

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

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

The function f (x) = log (x+ sqrt(x^(2) +1)) is-

The domain of the function f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+sinx+1) is :

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

Find the least value of a such that the function f given by f(x) = x^(2) + ax + 1 is increasing on [1, 2]?

The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt(1-sin^2x) whenever it is defined is

The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The range of value of x for which the function f(x)=x/logx,xgt0 and "x...

    Text Solution

    |

  2. If F(x)=|[x,x^2,x^3],[1,2x,3x^2],[0,2,6x]| , then F'(x) is

    Text Solution

    |

  3. The least value of the function f(x)= cos^(-1)x^2 in the interval [-1/...

    Text Solution

    |

  4. If a function is everywhere continuous and differentiable such that f'...

    Text Solution

    |

  5. If f'(x) exists for all x inR and g(x)=f(x)-(f(x))^2+(f(x))^3forallx i...

    Text Solution

    |

  6. The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...

    Text Solution

    |

  7. The minimum value of the function defined by f(x)=max {x,x+1,2-x} is

    Text Solution

    |

  8. If f(x)gt0 and f"(x)gt0 forallx in R, then for any two real numbers x1...

    Text Solution

    |

  9. If 0ltalphaltbetaltpi/2 then

    Text Solution

    |

  10. A function f is such that f'(4)=f''(4)=0 and f has minimum value 10 at...

    Text Solution

    |

  11. If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...

    Text Solution

    |

  12. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

    Text Solution

    |

  13. If 0ltxltpi/2,then

    Text Solution

    |

  14. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

    Text Solution

    |

  15. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  16. The equation e^(x-1)+x-2=0 as

    Text Solution

    |

  17. For the function y=f(x)=(x^2+bx+c)e^x, which of the following holds ?

    Text Solution

    |

  18. The function y=x/(1+x^2) decreases in the interval

    Text Solution

    |

  19. If f(x)=logex is defined in [1,e], then

    Text Solution

    |

  20. The function f(x) =int0^xsqrt(1-t^4)dt is such that

    Text Solution

    |