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

Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt 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 GUJARATI|Exercise EXERCISE 6.6|24 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

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) = (2x – 1)^(2)+ 3

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

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

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

Find the maximum and minimum values, if any, of the functions given by f(x) = 9x^(2) + 12x + 2

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the maximum value of 2x^3-24 x+107in the interval [1, 3]. Find t...

    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 and minimum values of the function f(x) = x+ sin 2x, ...

    Text Solution

    |

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

    Text Solution

    |

  5. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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=2ywhich is nearest to the point (0, 5) is(A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |