Home
Class 12
MATHS
Find both the maximum value and the mini...

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

Text Solution

Verified by Experts

The correct Answer is:
`25, -39`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.4|23 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

The local minimum value of f(x)=x^(2)+4x+5 is ………..

Find local maximum and local minimum values of the function f given by f(x)=3x^(4)+4x^(3)-12x^(2)+12 .

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = (x-1)^(2) +3, x in [-3 ,1)

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = x^(3), x in [– 2, 2]

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f (x) = sin x + cos x , x in [0,pi]

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = 4x -(1)/(2) x^(2) , x in [-2,(9)/(2)]

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.5
  1. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  2. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  3. Find both the maximum value and the minimum value of f(x)=3x^(4)-8x^(3...

    Text Solution

    |

  4. At what points in the interval [0, 2pi], does the function sin (2x) at...

    Text Solution

    |

  5. What is the maximum value of the function sin x + cos x ?

    Text Solution

    |

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

    Text Solution

    |

  7. It is given that at x = 1, the function x^(4)-62x^(2)+ax+9 attains its...

    Text Solution

    |

  8. Find the maximum and minimum values of x+sin(2x) on [0, 2pi].

    Text Solution

    |

  9. Find two numbers whose sum is 24 and whose product is as large as poss...

    Text Solution

    |

  10. Find two positive numbers x and y such that x+y=60 and xy^(3) is maxim...

    Text Solution

    |

  11. Find two positive numbers x and y such that their sum is 35 and the pr...

    Text Solution

    |

  12. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

    Text Solution

    |

  13. A square piece of tin of side 18 cm is to be made into a box without t...

    Text Solution

    |

  14. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...

    Text Solution

    |

  15. Show that of all rectangles inscribed in a given fixed circle, the squ...

    Text Solution

    |

  16. Show that the right circular cylinder of given surface and maximum vol...

    Text Solution

    |

  17. Of all the closed cylindrical cans (right circular), of a given volume...

    Text Solution

    |

  18. A wire of length 28 m, is to be cut into two pieces. One of the pieces...

    Text Solution

    |

  19. Prove that the volume of the largest cone that can be inscribed in a s...

    Text Solution

    |

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

    Text Solution

    |