Home
Class 12
MATHS
f(x) =x-1/x is...

f(x) =x-1/x is

A

increasing in R

B

decreasing in `R^+`

C

increasing in `R - {0}`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If f:[1,infty) to [2, infty) , defined by f(x) = x+1/x , then find f^(-1)(x) .

If f:[1, infty) to [2, infty) is given by f(x) =x+1/x , then f^(-1)(x)=

The number of discontinuities in R for the function f(x) = (x-1) / (x^(3) + 6 x^(2) + 11 x + 6) is

Find the minimum value of f(x) = |x-1| + |x-2| + |x-3|

Find the intervals in which the following functions are positive and in which they are negative f(x) = (x-1) ( x- 3)

Find the derivative of f(x) =(x+1)/(x)

If f(x) = x/(1 + |x|) for x in R then f(0) is equal to

If f(x) = 1 + x + x^(2) + …… for |x| lt 1 then show that f^(-1)(x) = (x-1)/(x) .

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. If xlt 0 then f(x) =x^2-x is

    Text Solution

    |

  2. For real values of x, the function x-sin x is

    Text Solution

    |

  3. f(x) =x-1/x is

    Text Solution

    |

  4. If f(x) =sin x -bx+c decreasing along the entire number scale then

    Text Solution

    |

  5. If the function f(x) =2x^2-kx+5 is increasing on [1,2] then k lies in ...

    Text Solution

    |

  6. If f(x) =x^(3) +ax^(2)+bx +5 sin^(2) x is an increasing function on R,...

    Text Solution

    |

  7. If f(x) =kx^3-9x^2+9x+3 is increasing on R,then

    Text Solution

    |

  8. The values of 'a' for which the function (a+2)x^3-3ax^2+9ax-1 decrease...

    Text Solution

    |

  9. The value of a such that x^3-ax^2+48x+1 increasing on R is

    Text Solution

    |

  10. The values of a,b such that x^3+3ax^2+3a^2x+b is increasing on R-{-a} ...

    Text Solution

    |

  11. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

    Text Solution

    |

  12. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

    Text Solution

    |

  13. The condition for f(x) =x^3+px^2+qx+r^',x in R) to have no extreme val...

    Text Solution

    |

  14. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

    Text Solution

    |

  15. The condition f(x) =x/(log x) has minimum value at x=

    Text Solution

    |

  16. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

    Text Solution

    |

  17. f(x) = sin x(1+ cos x) has maximum value at x=

    Text Solution

    |

  18. f(x) = sin ^m x cos ^nx has maximum value at x=

    Text Solution

    |

  19. The function y=2x^3-3x^2-12x+8 has minimum at x=

    Text Solution

    |

  20. The function y=x^4-6x^2+8x+11 has a minimum at x=

    Text Solution

    |