Home
Class 12
MATHS
Find the global maximum and minimum valu...

Find the global maximum and minimum values of the function f given by `f(x) = 2x^(3) - 15x^(2) + 36x + 1, x in [1,5]`.

Text Solution

Verified by Experts

The correct Answer is:
Global maximum value is 56 and Global minimum value is 24
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 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 the maximum and minimum values, if any, of the functions given by g(x) = x^(3) + 1

Find the maximum and minimum values, if any, of the functions given by f (x) = (2x – 1)^(2)+ 3

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, if any, of the functions given by h(x) = sin(2x) + 5

Find the maximum and minimum values, if any, of the functions given by f(x) = – (x -1)^(2) + 10

Find the maximum and minimum values, if any, of the functions given by f(x) = |x + 2| – 1

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

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

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find local maximum and local minimum values of the function f given by...

    Text Solution

    |

  2. Find all the points of local maxima and local minima of the function f...

    Text Solution

    |

  3. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  4. Find the shortest distance of the point (0, c) from the parabola y=x^(...

    Text Solution

    |

  5. Let AP and BQ be two vertical poles at points A and B respectively. If...

    Text Solution

    |

  6. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  7. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  8. Find the global maximum and minimum values of the function f given by ...

    Text Solution

    |

  9. Find absolute maximum and minimum values of a function f given by f(x...

    Text Solution

    |

  10. An Apache helicopter of enemy is flying along the curve given by y=x^(...

    Text Solution

    |

  11. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  12. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  13. A man of height 2 metres walks at a uniform speed of 5 km/h away from ...

    Text Solution

    |

  14. Find the equation of the normal to the curve x^(2)=4y which passes thr...

    Text Solution

    |

  15. Find the equations of the tangent to the curve y=cos(x+y) which is par...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=(3)/(10)x^(4)-(4)/(...

    Text Solution

    |

  17. Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0...

    Text Solution

    |

  18. A circular disc of radius 3 cm is being heated. Due to expansion, its ...

    Text Solution

    |

  19. An open topped box is to be constructed by removing equal squares from...

    Text Solution

    |

  20. Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each....

    Text Solution

    |