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

Find the intervals in which the function `f` given by `f(x)=sinx+cosx ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ 0lt=x\ lt=2pi` is strictly increasing or strictly decreasing.

Text Solution

Verified by Experts

The correct Answer is:
Srictly Increasin in
`[0,(pi)/(4))uu((5pi)/(4),2pi];`
Strictly Decreasin in `((pi)/(4),(5pi)/(4))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Short Answer Type Questions)|18 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Short Answer Type Questions)|27 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 f given f(x)=\ sin x-cosx ,\ 0lt=x\ lt=2pi,\ is strictly increasing or strictly decreasing.

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

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

Find the interval in which the function f given by f(x)=sin2x+cos2x,0<=x<=pi is strictly decreasing.

Find the intervals in which the function 'f' given by : f(x)=sinx-cosx, 0lexle2pi is strictly increasing or striclty decreasing.

Find the intervals in which the function f given by f(x) = tan x -4x , x in ( 0,(pi) /(2) ) is (a) Strictly increasing (b ) strictly decreasing

Find the intervals in which the function f given by f (x) = x^(2) – 4x + 6 is strictly increasing:

Write the interval in which the function f(x)=cos x is strictly decreasing.

The interval in which the function f given by f(x) = xe^(-x) is strictly increasing, is:

Example 13 Find the intervals in which the function f tives f(x)=sin x+cos x,0<=x<=2pi is strictly increasing or strictly decreasing.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (b) (Long Answer Type Questions (I))
  1. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  2. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  3. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  4. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  5. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  6. Find the intervals in which the given functions are strictly increasin...

    Text Solution

    |

  7. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  8. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  9. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  10. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  11. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  12. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  13. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |

  14. On which of the following intervals is the function 'f' given by f(x)=...

    Text Solution

    |

  15. Find the intervals in which f(x)=sinx-cosx, where 0ltxlt2pi, is strict...

    Text Solution

    |

  16. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

    Text Solution

    |

  17. Find the intervals in which the function 'f' given by : f(x)=sinx-co...

    Text Solution

    |

  18. Find the intervals in which the function f(x)=2x^(3)-9x^(2)+12x+29 is ...

    Text Solution

    |

  19. Find the intervals in which the function given by f(x)=sin3x, x in [0,...

    Text Solution

    |

  20. which of the following functinon are strictly decreasing on (0 , pi/2 ...

    Text Solution

    |