Home
Class 12
MATHS
Prove that f(x)=2/(x)+5 is strictly decr...

Prove that `f(x)=2/(x)+5` is strictly decreasing for all `x inR,xne0`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION IV)|24 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION V)|13 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SHORT ANSWER TYPE QUESTIONS) (SECTION II)|20 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

Prove that f(x) = 3/x + 7 is strictly decreasing for x in R-{0} .

Prove that f(x)="cos"x is strictly decreasing (0,pi)

f(x) = cos x is strictly decreasing in (0, pi)

Prove that f(x)="sin"x-x is decreasing AAx inR .

Without using the dervative, show that f(x) = |x| is strictly decreasing in (-infty,0)

f(x) = sin x is a strictly decreasing in (pi/2,pi)

Prove that f(X) = 1/x is decreasing for all x >0, without using the derviative.

Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/3,pi/3)

f(x) = x^3 - 12x is strictly decreasing in __________

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION III)
  1. Prove that f(x)="cos"x is strictly decreasing (0,pi)

    Text Solution

    |

  2. f(x) = cos x is neither increasing nor decreasing in (0,2pi)

    Text Solution

    |

  3. Prove that f(x)=x^(7)+3x^(5)+15 is increasing function.

    Text Solution

    |

  4. Prove that f(x)=2/(x)+5 is strictly decreasing for all x inR,xne0.

    Text Solution

    |

  5. Prove that f(x)="tan"x is strictly increasing in (-pi/(2),pi/(2))

    Text Solution

    |

  6. Prove that f(x)="sin"x-x is decreasing AAx inR.

    Text Solution

    |

  7. Determine the intervals in which the following functions f (x) = x^2 +...

    Text Solution

    |

  8. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  9. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  10. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  11. Determine the intervals in which the following functions f (x ) = 2x^3...

    Text Solution

    |

  12. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  13. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  14. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  15. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  16. Find the intervals in which the function : f (x) = 20 - 9x + 6x^2 - x^...

    Text Solution

    |

  17. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  18. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  19. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  20. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |