Home
Class 12
MATHS
Find the values of x such that f(x)=2x^(...

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

Text Solution

Verified by Experts

The correct Answer is:
`1 lt x lt 2`
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

Find the values of x such that f(x)=2x^(3)-15x^(2)-84x-7 is a decreasing function.

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

Find the values of x such that f(x) = (x-2)/(x+1), x ne -1 is decreasing function

Find the values of x , such that f(x) = 2x^(3) - 15x^(2) + 36x +1 is (i) increasing function (ii) decreasing function

Find the intervals in which the function f(x)=2x^(3)-9x^(2)+12x+15 is increasing and decreasing.

Find the intervals in which the function f(x)=2x^(3)+9x^(2)+12x+20 is increasing and decreasing.

Find the intervals in which f(x)=2x^(3)-9x^(2)+12x-5 is increasing or decreasing.

The function f(x) = x^(3) - 6x^(2) +9x + 3 is decreasing for

NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
  1. Test whether the following funtions are increasing or decreasing : f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The combined resistance R of two resistors R(1) and R(2) " where " R(1...

    Text Solution

    |

  20. Two sides of a triangle are given. The angle between them such that th...

    Text Solution

    |