Home
Class 12
MATHS
Show that f(x)=cos(2x+pi//4) is an incre...

Show that `f(x)=cos(2x+pi//4)` is an increasing function on `(3pi//8,\ 7pi//8)` .

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

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

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

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

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

Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing in (pi,\ 0) and neither increasing nor decreasing in (pi,\ pi) .

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

Show that f(x)=cosx is decreasing function on (0,pi), increasing in (-pi,0) and neither increasing nor decreasing in (-pi,pi)dot

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi//2,\ pi) and neither increasing nor decreasing in (0,\ pi) .

Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. If a ,\ b ,\ c are real numbers, then find the intervals in which f(...

    Text Solution

    |

  2. Show that for ageq1,\ \ f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on ...

    Text Solution

    |

  3. Show that f(x)=cos(2x+pi//4) is an increasing function on (3pi//8,\ 7p...

    Text Solution

    |

  4. Find the least value of ' a ' such that the function f(x)=x^2+a x+1 is...

    Text Solution

    |

  5. Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x...

    Text Solution

    |

  6. Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on...

    Text Solution

    |

  7. Find the intervals in which f(x)=10-6x-2x^2 is increasing or decreasin...

    Text Solution

    |

  8. Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

    Text Solution

    |

  9. Find the intervals in which f(x)=6-9x-x^2 is increasing or decreasing.

    Text Solution

    |

  10. Find the intervals in which f(x)=2x^3-12 x^2+18 x+15 is increasing or ...

    Text Solution

    |

  11. Find the intervals in which f(x)=5+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  12. Find the intervals in which f(x)=8+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  13. Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or ...

    Text Solution

    |

  14. Find the intervals in which f(x)=x^3-6x^2-36 x+2 is increasing or decr...

    Text Solution

    |

  15. Find the intervals in which f(x)=2x^3-15 x^2+36 x+1 is increasing or d...

    Text Solution

    |

  16. Find the intervals in which f(x)=2x^3+9x^2+12 x+20 is increasing or de...

    Text Solution

    |

  17. Find the intervals in which f(x)=2x^3-9x^2+12 x-5 is increasing or dec...

    Text Solution

    |

  18. Find the intervals in which f(x)=6+12 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  19. Find the intervals in which f(x)=2x^3-24 x+107 is increasing or decrea...

    Text Solution

    |

  20. Find the intervals in which f(x)=-2x^3-9x^2-12 x+1 is increasing or de...

    Text Solution

    |