Home
Class 12
MATHS
Show that the function f(x)=sin(2x+pi//4...

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

Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3,\ pi//3) .

Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3,\ pi//3) .

Show that the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ pi//4) and increasing on (pi//4,\ pi//2) .

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

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

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

Show that the function f(x) = log cos x is : (i) Strictly decreasing in ]0,pi/2[ (ii) Strictly increasing in ]pi/2, pi [

Prove that the function f given by f(x) = log sin x" is increasing on "(0,pi/2) and decreasing on (pi/2,pi) .

Prove that the function f given by f(x) = log | cos x|" is decreasing on "(0,pi/2)" and increasing on "((3pi)/2,2pi) .

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Show that f(x)=tanx is an increasing function on (-pi//2,\ pi//2) .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Prove that the function f(x)=x^3-6x^2+12 x-18 is increasing on R .

    Text Solution

    |

  9. State when a function f(x) is said to be increasing on an interval ...

    Text Solution

    |

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

    Text Solution

    |

  11. Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

    Text Solution

    |

  12. Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi/...

    Text Solution

    |

  13. Find the intervals in which f(x)=log(1+x)-x/(1+x) is increasing or dec...

    Text Solution

    |

  14. Find the intervals in which f(x)=(x+2)e^(-x) is increasing or decreasi...

    Text Solution

    |

  15. Show that the function f given by f(x)=10^x is increasing for all x .

    Text Solution

    |

  16. Prove that the function f given by f(x)=x-[x] is increasing in (0,\ 1)...

    Text Solution

    |

  17. Prove that the function f(x)=3x^5+40 x^3+240 x is increasing on R .

    Text Solution

    |

  18. Prove that the function f given by f(x)=logcosx is strictly increasing...

    Text Solution

    |

  19. Show that the function f given by f(x)=x^3-3x^2+4x ,x in Ris strictl...

    Text Solution

    |

  20. Prove that the function f(x)=cosx is strictly decreasing in (0,\ pi)

    Text Solution

    |