Home
Class 12
MATHS
Find the absolute maximum and minimum va...

Find the absolute maximum and minimum values of `f(x) = 2x^(3) - 24x + 57` in the interval [1, 3].

Text Solution

Verified by Experts

The correct Answer is:
`"Maximum" "value" = 89` and `"minimum" "value" = 75`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section B|44 Videos

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

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

Find the maximum and minimum value of x+1/x

Find the absolute maximum and absolute minimum value of f(x)=x-x^3 in [0,1].

Find the maximum and minimum values of f(x) = sec x + log cos^(2)x, 0 lt x lt 2pi .

Find the absolute maximum and absolute minimum value of the function f(x)=2x^3 in [-2,2].

Find the local maximum and local minimum values of ((x - 1)(x-6))/(x-10), x ne 10 .

Find the maximum and minimum of f(X) = 3+|X-2| in -2leXle5 .

Find the local maximum and local minimum values of the function f(x) = (4)/(x + 2) + x .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 9-Section C
  1. Find the absolute maximum and minimum values of f(x) = 2x^(3) - 24x + ...

    Text Solution

    |

  2. If e^(x) + e^(y) = e^(x + y), then prove that (dy)/(dx) = (e^(x)(e^...

    Text Solution

    |

  3. Find a point on the curve f(x)=(x-3)^2, where the tangent is parallel ...

    Text Solution

    |

  4. Find the area of the region included between the parabolas y^(2) = 4ax...

    Text Solution

    |

  5. Solve (dy)/(dx) = ysin 2x: y(0) = 1.

    Text Solution

    |

  6. Evaluate int (1)/(sinx(2cos^(2) x -1)) dx.

    Text Solution

    |

  7. Prove analytically : The perpendicular bisector of the sides of a tria...

    Text Solution

    |

  8. Find the foot of the perpendicular drawn from the point 2hati - hatj +...

    Text Solution

    |

  9. Solve the following LPP graphically. Maximise Z = 5x + 3y Su...

    Text Solution

    |

  10. Let f : N to R be a function defined as f(x)=4x^(2)+12x +15. Show tha...

    Text Solution

    |

  11. If A = [(1, -1, 1),(2, 1, -3), (1, 1, 1)], find A^(-1) and hence solve...

    Text Solution

    |

  12. A dice is thrown thrice. Find the probability of getting an odd number...

    Text Solution

    |

  13. Find the inverse of the following matrix using elementary transformati...

    Text Solution

    |

  14. If e^(x) + e^(y) = e^(x + y), then prove that (dy)/(dx) = (e^(x)(e^...

    Text Solution

    |

  15. Find a point on the curve f(x)=(x-3)^2, where the tangent is parallel ...

    Text Solution

    |

  16. Find the area of the region included between the parabolas y^(2) = 4ax...

    Text Solution

    |

  17. Solve (dy)/(dx) = ysin 2x: y(0) = 1.

    Text Solution

    |

  18. Evaluate int (1)/(sinx(2cos^(2) x -1)) dx.

    Text Solution

    |

  19. Prove analytically : The perpendicular bisector of the sides of a tria...

    Text Solution

    |

  20. Find the foot of the perpendicular drawn from the point 2hati - hatj +...

    Text Solution

    |

  21. Solve the following LPP graphically. Maximise Z = 5x + 3y Su...

    Text Solution

    |