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:
`o lt= x lt= (pi)/(2) "and" (3pi)/(2) lt xlt 2pi (ii) (pi)/(2) lt x lt (3pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)-72x+30 is (a) Increasing (b) Decreasing.

Find intervals in which the function given by f(x)=sin 3x, x in [0, (pi)/(2)] is (a) Increasing (b) Decreasing.

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

Find the intervals in which the function f given by f(x)=sin x + cos x, 0 le x le 2 pi is Increasing or Decreasing.

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

Find the derivative of the function given by f(x)= sin x^(2)

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

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Find the equation of the normal to curve x^2=4ywhich passes through t...

    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/(...

    Text Solution

    |

  5. Find the maximum area of an isosceles triangle inscribed in the ellip...

    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=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

    Text Solution

    |