Home
Class 12
MATHS
Find the maximum value and the minimum v...

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

Text Solution

Verified by Experts

The correct Answer is:
Minima at x = 2, minimum value = – 39, Maxima at x = 0, maximum value = 25.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.6|24 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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].

The minimum value of 3cosx+4sinx+8 is

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

Find the maximum and minimum values in the following functions : x^(3)-9x^(2)+15x-1 ,

Find the maximum and the minimum values, if any, of the function f given by f(x)=x^(2), x in R .

Find the maximum and minimum values, if any, of the functions given by f(x) = 9x^(2) + 12x + 2

Find the maximum and minimum values in the following functions : (x-8)^(4)(x-9)^(5)

Find the maximum and minimum values, if any, of the functions given by g(x) = x^(3) + 1

Find the maximum and the minimum values, if any, of the function given by f(x)=x, x in (0,1) .

Find the maximum and minimum values in the following functions : x^(5)-5x^(4)+5x^(3)-10

NCERT GUJARATI-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 functi...

    Text Solution

    |

  3. Find the maximum value and the minimum value and the minimum value of ...

    Text Solution

    |

  4. At what points in the interval [0,""""2pi] , does the function s in" "...

    Text Solution

    |

  5. What is the maximum value of the function s in" "x" "+" "cos" "x ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Find the maximum and minimum values of the function f(x) = x+ sin 2x, ...

    Text Solution

    |

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

    Text Solution

    |

  10. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |