Home
Class 12
MATHS
Find the maximum and minimum values of x...

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

Text Solution

Verified by Experts

The correct Answer is:
Maximum at x = `2pi`, maximum value `= 2pi`; Minimum at x = 0, minimum value = 0
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.6|24 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the maximum and minimum values of f(x)=|x+3|AAx inRR .

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) = 9x^(2) + 12x + 2

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) = |sin 4x + 3|

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

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

Find the absolute maximum and minimum values of the function f given by f(x) = cos^(2)x+sinx, x in [ 0,pi]

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Find sum of maximum and minimum values of the function f(x) = sin^2x + 8cosx - 7

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the maximum value of 2x^(3) – 24x + 107 in the interval [1, 3]. F...

    Text Solution

    |

  2. It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attai...

    Text Solution

    |

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

    Text Solution

    |

  4. Find two numbers whose sum is 24 and whose product is as large as poss...

    Text Solution

    |

  5. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

    Text Solution

    |

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

    Text Solution

    |

  7. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

    Text Solution

    |

  8. A square piece of tin of side 18 cm is to be made into a box without t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Of all the closed cylindrical cans (right circular), of a given volume...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  16. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  17. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

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

    Text Solution

    |

  19. For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2))...

    Text Solution

    |

  20. The maximum value of [ x(x-1)+1]^((1)/(3)) , 0 lt= x lt= 1 is

    Text Solution

    |