Home
Class 12
MATHS
If f(x)=(x^2-1)/(x^2+1) . For every real...

If `f(x)=(x^2-1)/(x^2+1)` . For every real number `x ,` then the minimum value of `fdot` does not exist because `f` is unbounded is not attained even through `f` is bounded is equal to 1 is equal to `-1`

A

does not exist because f is unbounded

B

is not attained even through f is bounded

C

is equal to 1

D

is equal to -1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x^(2)-1)/(x^(2)+1). For every real number x then the minimum value of f. does not exist because f is unbounded is not attained exen through f is bounded is equal to 1 is equal to -1

If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value of f

If f(x) = (x-1)/(x+1) , then f(2) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to

f(x)=((x-2)(x-1))/(x-3), forall xgt3 . The minimum value of f(x) is equal to

Let f(x)=(x-1)/(x+1) then f(1) is equal to

If f(x)=x^(2)-x^(-2) then f((1)/(x)) is equal to

If f(x)=x^(2)-x^(-2) then f((1)/(x)) is equal to

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The function f(x)=x+sinx has

    Text Solution

    |

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

    Text Solution

    |

  3. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  4. If G and L are the greatest and least values of the expression (x^(2)-...

    Text Solution

    |

  5. The maximum value of exp(2+sqrt3cosx+sinx) is

    Text Solution

    |

  6. The function f(x)=x^(x) has a stationary point at

    Text Solution

    |

  7. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  8. The height of the cylinder of the greatest volume that can be inscribe...

    Text Solution

    |

  9. The radius of the cylinder of maximum volume, which can be inscribed i...

    Text Solution

    |

  10. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  11. Area of the greatest rectangle that can be inscribed in the ellipse x^...

    Text Solution

    |

  12. Suppose the cubic x^3-px+q has three real roots where pgt0 and qgt0 . ...

    Text Solution

    |

  13. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  14. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  15. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  16. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  17. If f(x)={{:(x",",0lexle1),(2-e^(x-1)",",1ltxle2),(x-e",",2ltxle3):} an...

    Text Solution

    |

  18. e total number of local maxima and local minima of the function f(x) =...

    Text Solution

    |

  19. Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f ...

    Text Solution

    |

  20. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |