Home
Class 12
MATHS
Test whether the following funtions are ...

Test whether the following funtions are increasing or decreasing :
`f(x)=x-(1)/(x), x in R, x ne 0`.

Text Solution

Verified by Experts

The correct Answer is:
increasing for all `x in R`, where `x ne 0`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos
  • APPLICATIONS OF DERIVATIVES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS ( AREA )

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (3 OR 4 MARKS )|5 Videos
  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Test whether the following funtions are increasing or decreasing : f(x)=3+3x-3x^(2)+x^(3)

Test whether the following funtions are increasing or decreasing : f(x)=2-3x+3x^(2)-x^(3), x in R .

Test whether the following functions are increasing or decreasing : f(x)=x^(3)-6x^(2)+12x-16, x in R

Test whether the following functions are increasing or decreasing : f(x)=cosx, 0 lt x lt pi .

The function f(x)=x-(1)/(x), x in R, x ne 0 is

FInd the the intervals in which f(x) is increasing or decreasing: f(x)=x|x|,x in R

the function f(x)=x^2-x+1 is increasing and decreasing

State whether f(x)=tan x-x is increasing or decreasing its domain.

Test whether the following function f(x)=2-3x+3x^(2)-x^(3), x in R is increasing or decreasing.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
  1. Find c, if LMVT is applicable for f(x)=(x-3)(x-6)(x-9), x in [3, 5].

    Text Solution

    |

  2. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  3. Test whether the following funtions are increasing or decreasing : f...

    Text Solution

    |

  4. Test whether the following funtions are increasing or decreasing : f...

    Text Solution

    |

  5. Find the values of x such that f(x)=x^(3)+12x^(2)+36x+6 is an increasi...

    Text Solution

    |

  6. Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasin...

    Text Solution

    |

  7. Find the values of x if f(x)=(x)/(x^(2)+1) is an increasing function

    Text Solution

    |

  8. Find the values of x if f(x)=(x)/(x^(2)+1) is a decreasing function.

    Text Solution

    |

  9. Examine the following functions for maxima and minima : f(x)=2x^(3)-...

    Text Solution

    |

  10. Examine the following functions for maxima and minima : f(x)=x^(2)+(...

    Text Solution

    |

  11. Examine the following functions for maxima and minima : f(x)=3x^(3)-...

    Text Solution

    |

  12. Examine the following functions for maxima and minima : f(x)=x^(2)e^...

    Text Solution

    |

  13. Examine the following functions for maxima and minima : Show that f(...

    Text Solution

    |

  14. Examine the following functions for maxima and minima : Find the max...

    Text Solution

    |

  15. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

    Text Solution

    |

  16. Divide the number 84 into two parts such that the product of one part ...

    Text Solution

    |

  17. If x+y=8, then show that the maximum value of x^(2)y is (2048)/(27).

    Text Solution

    |

  18. A manufacturer can sell x items at the price of Rs. (330-x) each. The ...

    Text Solution

    |

  19. Find the position of the point P on seg AB of length 8 cm, so that "AP...

    Text Solution

    |

  20. Determine the points on the curve x^2=4y which are nearest to th...

    Text Solution

    |