Home
Class 11
MATHS
In the interval (-3,3) the function f(x)...

In the interval (-3,3) the function `f(x) =x/3+3/x,xne 0` is

A

increasing

B

decreasing

C

neither increasing nor decreasing function

D

partly increasing and partly decreasing

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-II|88 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise SYNOPSIS|22 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f(x) = x^(3) - 3x^(2) + 4 is strictly increasing for all x in R

The function f(x) =10 -x^3+3x is increasing in

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

Find the intervals in which the function f given by f (x) = 4x^(3) – 6x^(2) – 72x + 30 is (a) increasing (b) decreasing.

The function f(x)=3-2(x+1)^(1//3) has a

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-I
  1. The greatest value of the function f(x) =sin 2x -x on [-pi//2,pi//2] ...

    Text Solution

    |

  2. f(x) =x/a+a/x(agt 0) is decreasing in

    Text Solution

    |

  3. In the interval (-3,3) the function f(x) =x/3+3/x,xne 0 is

    Text Solution

    |

  4. The stationary value of f(x) = (log x )/x is

    Text Solution

    |

  5. The function f(x)=x^(1//x) has stationary point at

    Text Solution

    |

  6. The stationary points of y=sinx are

    Text Solution

    |

  7. The minimum value of f(x)=2x^2+3x+1 is

    Text Solution

    |

  8. f(x)=x^5-5x^4+5x^3-10 has a local maximum at x=

    Text Solution

    |

  9. The maximum value of f(x)=x^3-2ax^2+a^2x(agt0) is

    Text Solution

    |

  10. The minimum value of (x-alpha)(x-beta) is

    Text Solution

    |

  11. If x+y=k and xgt09,ygt0 then x^2+y^2 is minimum if

    Text Solution

    |

  12. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

    Text Solution

    |

  13. The minimum value of 7/(4sinx+3cosx-6) is

    Text Solution

    |

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

    Text Solution

    |

  15. The maximum valuue of the function f(x)=Sin(x+pi/6)+Cos(x+pi/6) in the...

    Text Solution

    |

  16. The maximum value of sin^3x.cos^3x is … and is obtained at x=......

    Text Solution

    |

  17. The least value of 4sec^2x+25cosec^2x is .... and is obtained at x = ....

    Text Solution

    |

  18. The minimum value of 27 secx + 64 cosecx for x in (0,pi/2) is ……. And...

    Text Solution

    |

  19. The minimum value of 27 secx + 64 cosecx for x in (0,pi/2) is ……. And...

    Text Solution

    |

  20. The minimum value of the function f(x)=3tanx+4cotx where x in(0,pi/2)

    Text Solution

    |