Home
Class 12
MATHS
Find the intervals in which f(x)=sinx-co...

Find the intervals in which `f(x)=sinx-cosx` , where `0 lt x lt 2pi` is increasing or decreasing.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which f(x) = sin x - cos x , "where "0 lt x lt 2 pi is decreasing

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi is (i) increasing, (ii) decreasing.

Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < x < pi , is strictly increasing or decreasing.

Find the intervals in which f(x)=log(cosx), 0 le x le 2pi is increasing.

Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is increasing.

Find the intervals in which f(x) = sin 3x, x in [0,pi/2] is (i) increasing, (ii) decreasing.

Find the intervals in which f (x) = 2 log (x - 2) - x^2 + 4x +1 is increasing or decreasing.

Separate the interval [0,\ pi//2] into sub-intervals in which f(x)=sin^4x+cos^4x is increasing or decreasing.

Separate the interval [0,pi/2] into sub intervals in which function f(x)=sin^4(x)+cos^4(x) is strictly increasing or decreasing.

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Find the intervals in which f(x)=log(2+x)-(2x)/(2+x),\ \ x in R

    Text Solution

    |

  2. Determine the values of x for which the function f(x)=x^2-6x+9 is incr...

    Text Solution

    |

  3. Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is in...

    Text Solution

    |

  4. Show that f(x)=e^(2x) is increasing on R .

    Text Solution

    |

  5. Show that f(x)=e^(1//x),\ \ x!=0 is a decreasing function for all x...

    Text Solution

    |

  6. Find the derivative of tan( x + y) = x with respect to x .

    Text Solution

    |

  7. Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi...

    Text Solution

    |

  8. Show that f(x)=logsinx is increasing on (0,\ pi//2) and decreasing on ...

    Text Solution

    |

  9. Show that f(x)=x-sinx is increasing for all x in R .

    Text Solution

    |

  10. Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all...

    Text Solution

    |

  11. Show that f(x)=cos^2x is a decreasing function on (0,\ pi//2) .

    Text Solution

    |

  12. Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

    Text Solution

    |

  13. Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing ...

    Text Solution

    |

  14. Show that f(x)=tanx is an increasing function on (-pi//2,\ pi//2) .

    Text Solution

    |

  15. Show that f(x)=tan^(-1)(sinx+cosx) is a decreasing function on the ...

    Text Solution

    |

  16. Show that the function f(x)=sin(2x+pi//4) is decreasing on (3pi//8,\ 5...

    Text Solution

    |

  17. Show that the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ ...

    Text Solution

    |

  18. Show that f(x)=(x-1)e^x+1 is an increasing function for all x >0 .

    Text Solution

    |

  19. Show that the function x^2-x+1 is neither increasing nor decreasing...

    Text Solution

    |

  20. Show that f(x)=x^9+4x^7+11 is an increasing function for all x in ...

    Text Solution

    |