Home
Class 12
MATHS
Test whether the function f(x)= x^(3) + ...

Test whether the function `f(x)= x^(3) + 6x^(2) + 12x-5` is increasing or decreasing for all `x in R`.

Text Solution

Verified by Experts

The correct Answer is:
Increasing
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

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

Prove that the function f(x)=x^(3)-6x^(2)+12x-18 is increasing on R .

The function f(x)=x^(3)-6x^(2)+12x-16, x in R is

Show that the function f(x)=x^(3)3x^(2)+6x100 is increasing on R

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

The function f(x)-x^(3)-6x^(2)+12x-16, x in R is

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

Examine whether the function given by f(x)=x^(3)-3x^(2)+3x-5 is increasing in R.

The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increasing, is :

Show that the function f(x)=(x^(3)-6x^(2)+12x-18) is an increasing function on R.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-APPLICATIONS OF DERIVATIVE
  1. A man of 2 metres height walks at a uniform speed of 6 km/hr away from...

    Text Solution

    |

  2. Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrica...

    Text Solution

    |

  3. Test whether the function f(x)= x^(3) + 6x^(2) + 12x-5 is increasing o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find the points on the curve y=sqrt(x-3), where the tangent is perpend...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |