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

Find the values of x for which `f(x)= 2x^(3)-15x^(2)-144x-7` is
(a) Strictly increasing (b) strictly decreasing

Text Solution

Verified by Experts

The correct Answer is:
(i) `x in (-oo, -3)uu (8, oo)` (ii) `x in (-3, 8)`
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise INDEFINITE INTEGRATION|75 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise DEFINITE INTEGRATION|59 Videos
  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise DIFFERENTIATION |42 Videos
  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

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

Similar Questions

Explore conceptually related problems

Find the intervals in which f(x)=4x^(3)-45x^(2)+168x-16 is (i) Strictly increasing (ii) Strictly decreasing

Find the values of x for which function f(x)= 2x^(3)-6x^(2) + 6x+24 is strictly increasing.

Find the values of x for which the function f(x)= x^(3)-6x^(2)-36x+ 7 is strictly increasing.

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

Find the intervals on which the function f(x) = 6 - 9x - x^(2) is (a) strictly increasing (b) strictly decreasing

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

Find the interval in which f(x)=x^(3)-3x^(2)-9x+20 is strictly increasing or strictly decreasing.

Find the intervals in which the function f(x)=3x^(4)-4x^(3)-12x^(2)+5 is (a) strictly increasing (b) strictly decreasing

Find the intervals on which the function f(x) = 10 - 6x - 2x^(2) is (a) strictly increasing (b) strictly decreasing.

Find the values of 'x' for which f(x)=x^(x),x gt 0 is strictly increasing or decreasing.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-APPLICATIONS OF DERIVATIVE
  1. Find the points on the curve y=sqrt(x-3), where the tangent is perpend...

    Text Solution

    |

  2. A spherical soap bubble is expanding so that its radius is increasing ...

    Text Solution

    |

  3. The surface area of a spherical balloon is increasing at the rate of 2...

    Text Solution

    |

  4. A ladder 10 meter long is leaning against a vertical wall. If the bott...

    Text Solution

    |

  5. Find the values of x for which the function f(x)= x^(3)-6x^(2)-36x+ 7 ...

    Text Solution

    |

  6. Find the values of x, for which the function f(x)= x^(3) + 6x^(2) - 36...

    Text Solution

    |

  7. The profit function P(x) of a firm, selling x items per day is given b...

    Text Solution

    |

  8. Divide the number 30 in to two parts such that their product is maximu...

    Text Solution

    |

  9. A wire of length 36meters is bent in the form of a rectangle. Find its...

    Text Solution

    |

  10. Find points on the curve given by y=x^(3)-6x^(2) + x+3 where the tange...

    Text Solution

    |

  11. The volume of the spherical ball is increasing at the rate of 4pi cc/s...

    Text Solution

    |

  12. The volume of a sphere increase at the rate of 20cm^(3)//sec. Find the...

    Text Solution

    |

  13. A man of height 180 cm is moving away from a lamp post at the rate of ...

    Text Solution

    |

  14. Find the values of x for which f(x)= 2x^(3)-15x^(2)-144x-7 is (a) St...

    Text Solution

    |

  15. Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-2...

    Text Solution

    |

  16. A wire of length 120cm is bent in the form of a rectangle. Find its di...

    Text Solution

    |

  17. An open box is to be made out of a piece of a square card board of sid...

    Text Solution

    |

  18. A rectangular sheet of paper has the area 24 sq. meters. The margin at...

    Text Solution

    |

  19. A box with a square base is to have an open top. The surface area of t...

    Text Solution

    |

  20. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |