Home
Class 12
MATHS
Prove that the function f(x)=cosx is nei...

Prove that the function `f(x)=cosx` is neither increasing nor decreasing in `(0,\ 2pi)`

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

Prove that the function f(x)=x^2-x+1 is neither increasing nor decreasing on (-1,\ 1) .

Show that the function x^2-x+1 is neither increasing nor decreasing on (0,\ 1) .

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

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

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

Show that the function f(x)=x^2 is neither strictly increasing nor strictly decreasing on R .

Prove that the function f(x)=(log)_e x is increasing on (0,\ oo) .

Show that f(x)=1/(1+x^2) is neither increasing nor decreasing on R .

Prove that the function given by f(x) = cos x is(a) strictly decreasing in (0,pi) (b) strictly increasing in (pi,2pi) , and(c) neither increasing nor decreasing in (0,2pi)

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Prove that the function f(x)=cosx is strictly decreasing in (0,\ pi)

    Text Solution

    |

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

    Text Solution

    |

  3. Prove that the function f(x)=cosx is neither increasing nor decreas...

    Text Solution

    |

  4. Show that f(x)=x^2-xsinx is an increasing function on (0,\ pi//2) .

    Text Solution

    |

  5. Find the value(s) of a for which f(x)=x^3-a x is an increasing functio...

    Text Solution

    |

  6. Find the values of b for which the function f(x)=sinx-b x+c is a decre...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the second order derivative of cotx with respect to x

    Text Solution

    |

  9. Find the intervals in which f(x)=x|x|,\ \ x in R is increasing or dec...

    Text Solution

    |

  10. Find the intervals in which f(x)=sinx+|sinx| is increasing or decreasi...

    Text Solution

    |

  11. Find the derivative of x^sinx with respect to x

    Text Solution

    |

  12. What are the values of ' a ' for which f(x)=a^x is increasing on R

    Text Solution

    |

  13. What are the values of ' a ' for which f(x)=a^x is decreasing on R

    Text Solution

    |

  14. Write the set of values of ' a ' for which f(x)=(log)a x is increasing...

    Text Solution

    |

  15. Write the set of values of ' a ' for which f(x)=(log)a x is decreasing...

    Text Solution

    |

  16. Find ' a ' for which f(x)=a\ (x+sinx)+a is increasing on R .

    Text Solution

    |

  17. Find the values of ' a ' for which the function f(x)=sinx-a x+4 is inc...

    Text Solution

    |

  18. Find the set of values of ' b ' for which f(x)=b(x+cosx)+4 is decreasi...

    Text Solution

    |

  19. Find the set of values of ' a ' for which f(x)=x+cosx+a x+b is increas...

    Text Solution

    |

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

    Text Solution

    |