Home
Class 12
MATHS
Show that the function f(x)=4x^3-18 x^2+...

Show that the function `f(x)=4x^3-18 x^2+27 x-7` has neither maxima nor minima.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

Show that the function x^(3)- 3x^(2)+3x+1 has neither a maxima nor a minima.

Show that the function f(x) = 4x^3-18x^2+ 27x – 7 is always increasing on R

Show that the least value of the function f(x)=2x^3-3x^2-12x+1 on [-2,2.5] has one maxima and one minima.

Show that the function f(x)=x^2 is neither strictly increasing nor strictly decreasing on R .

Prove that the function f(x)=x^2-x+1 is neither increasing nor decreasing on (-1,\ 1) .

Show that the function f: R-> R : f(x)=sinx is neither one-one nor onto

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.

Show that the function f : R ->R , defined as f(x)=x^2 , is neither one-one nor onto.

Show that the function x^2-x+1 is neither increasing nor decreasing on (0,\ 1) .

Show that the function f given by f(x)=x^3-3x^2+4x ,x in R is strictly increasing on R.

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  2. Find all the points of local maxima and local minima of the functio...

    Text Solution

    |

  3. Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor ...

    Text Solution

    |

  4. Find all the points of local maxima and minima and the correspondin...

    Text Solution

    |

  5. Find all the points of local maxima and minima and the corresponding...

    Text Solution

    |

  6. Find the points of local maxima, local minima and the points of inf...

    Text Solution

    |

  7. Find the point of local maxima or local minima of the function f(x) ...

    Text Solution

    |

  8. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  9. Show that the total surface area of a closed cuboid with square bas...

    Text Solution

    |

  10. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  11. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  12. Find the maximum and the minimum values, if any, of the following fu...

    Text Solution

    |

  13. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  14. A rectangle is inscribed in a semi-circle of radius r with one of its ...

    Text Solution

    |

  15. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  16. Find the maximum and the minimum values of f(x)=3x^2+6x+8,\ \ x in ...

    Text Solution

    |

  17. Find the maximum and the minimum values of f(x)=-|x-1|+5 for all x ...

    Text Solution

    |

  18. Find the maximum and the minimum values of f(x)=sin3x+4,\ \ x in (-...

    Text Solution

    |

  19. Find the maximum and the minimum values of f(x)=x^3+1 for all x in ...

    Text Solution

    |

  20. Find the maximum and the minimum values of f(x)=sin(sinx) for all x...

    Text Solution

    |