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

Let `f(x)`=`3x^4-8x^3-48 x-25`
Differentiate both sides with respect to x
`f'(x)`=`12x^3-24x^2-48`
For extreme point, `f(x)`=`0`
...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.1|18 Videos
  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.2|19 Videos
  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.4|9 Videos
  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

Similar Questions

Explore conceptually related problems

Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+1 on the interval [1,4] .

Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+1 on the interval [1,4] .

3.The minimum value of x^(x) is.

If x is real, find the minimum value of x^(2)-8x+ 17

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

Find the maximum and minimum values of the function f(x)=tanx-2x .

The minimum value of 3^(x)+3^(1-x), x in R

Find the maxima and minimum value of the function y = 40/(3x^(4)+ 8x^(3)- 18x^(2) +60 .

Find the absolute maximum value and the absolute minimum value of f(x)=(1//2-x)^2+x^3 in [-2,\ 2. 5]

Find the maximum and minimum values of f(x)=2x^3-24 x+107 in the interval [1,\ 3] .

NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the maximum and minimum values of f(x)=x+sin2x in the interval...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the maximum and minimum values , if any , of the function f given...

    Text Solution

    |

  5. Find the maximum and minimum values, if any, of the following functio...

    Text Solution

    |

  6. Find the points of local maxima or local minima, if any, of the fol...

    Text Solution

    |

  7. Prove that the following functions do not have maxima or minima: (i)...

    Text Solution

    |

  8. Find the absolute maximum value and the absolute minimum value of f...

    Text Solution

    |

  9. Find the maximum profit that a company can make, if the profit functi...

    Text Solution

    |

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

    Text Solution

    |

  11. At what points in the interval [0,2pi], does the function sin 2x attai...

    Text Solution

    |

  12. What is the maximum value of the function sinx + cosx?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Prove that the volume of the largest cone, that can be inscribed in...

    Text Solution

    |

  16. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

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

    Text Solution

    |

  18. Show that semi-vertical angle of right circular cone of given total su...

    Text Solution

    |

  19. The point on the curve x^(2) = 2y which is nearest to the point (0, 5...

    Text Solution

    |

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

    Text Solution

    |