Home
Class 12
MATHS
Find the intervals in which the function...

Find the intervals in which the function f given by `f(x)=(4sinx-2x-x cox)/(2+cos x)` is (i) increasing (ii) decreasing.

Text Solution

Verified by Experts

The correct Answer is:
`((pi)/(2),(3pi)/(2)).`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Exercise|15 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Revision Exercise|35 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.5)|48 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function fgiven by f(x)=(4sin x-2x-x cos x)/(2+cos x) is (i) increasing (ii) decreasing.

Find the intervals in which the function f given by f(x)=(4sin x-2x-x cos x)/(2+cos x),0<=x<=2 pi

Find the intervals in which the function f given by f(x)=(4sin x-2x-x cos x)/(2+cos x) is increasing decreasing,x in(0,2 pi)

Find the intervals in which the function given by f(x)=sin3x, x in [0, (pi)/(2)] is : (a) increasing (b) decreasing.

Find the intervals in which the function f given by f(x)=x^(3)+(1)/(x^(3)),x!=0 is (i) increasing (ii) decreasing.

Find the intervals in which the function f given by f(x)=x^(3)+(1)/(x^(3)),x!=0 is (i) increasing (ii) decreasing.

Find the intervals in which the function f given f(x)=sin x+cos x,0<=x<=2 pi, is strictly increasing or strictly decreasing.

Find the intervals in which the function f given by f(x)=x^(2)-4x+6 is (a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f given by f(x)=2x^(2)-3x is (a) strictly increasing (b) strictly decreasing

Find the intervals in which the function f given f(x)=2x^(3)-3x^(2)-36x+7 is (a) strictly increasing (b) strictly decreasing

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Misellaneous Exercise on Chapter (6)
  1. Find the equation of the normal to curve y^(2)=4x at the point (1, 2).

    Text Solution

    |

  2. Show that the normal at any point theta to the curve x=acostheta+at...

    Text Solution

    |

  3. Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...

    Text Solution

    |

  4. Find the intervals in which the function f given by f(x)=x^3+1/(x^3), ...

    Text Solution

    |

  5. Find the maximum are of the isosceles triangle inscribed in the ell...

    Text Solution

    |

  6. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  7. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  8. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  9. A point on the hypotenuse of a triangle is at distance a and b from t...

    Text Solution

    |

  10. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  11. Find the absolute maximum and minimum values of the function f give...

    Text Solution

    |

  12. Show that the altitude of the right circular cone of maximum volume...

    Text Solution

    |

  13. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  14. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  15. Show that height of the cylinder of greatest volume which can be insc...

    Text Solution

    |

  16. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

  17. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

    Text Solution

    |

  18. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

    Text Solution

    |

  19. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

    Text Solution

    |

  20. The normal to the curve x^(2)=4y passing (1, 2) is :

    Text Solution

    |