Home
Class 12
MATHS
Find the maximum and minimum values of ...

Find the maximum and minimum values of `x^4 -8x^3 +12x^2 - 48x+ 25 ` on the interval [0,3]

Text Solution

Verified by Experts

The correct Answer is:
maximum value 25 at x = 0 and minimum value - 39 at x = 2
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-48x+25 on the interval [0,3]

Find the maximum and minimum value of 3 sin 2x+4 cos 2x+3 .

Find the maximum and minimum values of the function f(x) = x + 4/x, x < 0

Find the absolute maximum and minimum values of the function. f(x) =3x^4 - 8x^3 + 12 x^2 - 48 x + 25 in (0,3)

Find the maximum and minimum values. f(x) = sin^4 x + cos^4x, 0 le x le pi/2

Find the maximum and minimum values of the function f(x) = |sin 4 x + 3|

Find the maximum and minimum values of the function : f(x) = 2x^3 - 15x^2 + 36x + 11 .

Find the (absolute) maximum and minimum values of f(x) = -4sin x + 2x in (0,pi/2)

Find the maximum or minimum values of the functions. f(x) = 3 sin x - 4 cos x

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Important Questions from (Miscellaneous Exercise )
  1. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  2. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  3. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  4. Using differentials, find the approximate value of ((17)/(81))^(1//4)

    Text Solution

    |

  5. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  6. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  8. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

    Text Solution

    |

  9. If the sum of the lengths of hypotenuse and a side of a right-angled t...

    Text Solution

    |

  10. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

    Text Solution

    |

  11. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  12. A window has the shape of a rectangle surmounted by an equilateral tri...

    Text Solution

    |

  13. The volume of a cube is increasing at the rate of 8 cm^(3)//s. How fas...

    Text Solution

    |

  14. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  15. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  16. Find the maximum profit that a company can make , if profit function i...

    Text Solution

    |

  17. Find the maximum and minimum values of x^4 -8x^3 +12x^2 - 48x+ 25 on...

    Text Solution

    |

  18. Prove that the radius of the right-circlar cylinder of greatest curved...

    Text Solution

    |

  19. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  20. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |