Home
Class 12
MATHS
Show that f(x)=x-sinx is increasing for ...

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

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)=e^(2x) is increasing on R .

Prove that f(x)=x-sinx is an increasing function.

Show that the function f(x) = x -sin x is an increasing function forall x in R .

Write the set of values of k for which f(x)=k x-sinx is increasing on R .

Show that f(x)=x+cosx-a is an increasing function on R for all values of a .

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

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

Find the interval for which f(x)=x-sinx is increasing or decreasing.

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

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

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |