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

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

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 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].

The maximum value of 2-3x-4x^2

The minimum value of f(x)=3x^4-8x^3-48x+25 on [0.3] is

Find the minimum value of |x-1|+|x-2|+|x-3|

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

Find the maximum and minimum values of y=6x^(2)-3x^(4)-1 in the interval y=-2lexle3

If 2x+3y=4 , find the maximum or minimum value of xy.

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 minimum value of the function x^3-7x^2+8x+5

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Discuss the extremum of f(x)={x^2+x^-2}

    Text Solution

    |

  2. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

    Text Solution

    |

  3. Find the maximum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+...

    Text Solution

    |

  4. Find the value of the x^2+7xy+y^2, when x=-2, y=-5

    Text Solution

    |

  5. Discuss the global maxima and global minima of f(x)=tan^(-1) x- (log)e...

    Text Solution

    |

  6. Suppose alpha,beta a n d theta are angles satisfying 0 < alpha < thet...

    Text Solution

    |

  7. Find the range of the function f(x)=2sqrt(x-2)+sqrt(4-x)

    Text Solution

    |

  8. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

    Text Solution

    |

  9. Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4] and the ...

    Text Solution

    |

  10. Two men Pa n dQ start with velocity u at the same time from the juncti...

    Text Solution

    |

  11. Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

    Text Solution

    |

  12. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

    Text Solution

    |

  13. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

    Text Solution

    |

  14. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  15. How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 ar...

    Text Solution

    |

  16. Two cyclists start from the junction of two perpendicular roads, there...

    Text Solution

    |

  17. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

    Text Solution

    |

  18. Tangent of an angle increases four times as the angle itself. At what ...

    Text Solution

    |

  19. Discuss the extremum of f(x)=1/3(x+1/x)

    Text Solution

    |

  20. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

    Text Solution

    |