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

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

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)=cosx is strictly increasing in (pi,\ 2pi)

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) .

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)

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

Without using the derivative, show that the function f(x)=|x| is (a) strictly increasing in (0,\ oo) (b) strictly decreasing in (-oo,\ 0)

Show that the function f(x)=x^2 is a strictly decreasing function on (-oo,\ 0) .

Without using the derivative, show that the function f(x)=|x| is strictly increasing in (0,oo) strictly decreasing in (-oo,0)dot

Show that the function f(x)=x^2 is strictly increasing function on (0,\ oo) .

Prove that the function f given by f(x)=logcosx is strictly increasing on (-pi//2,\ 0) and strictly decreasing on (0,\ pi//2) .

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Prove that the function f given by f(x)=logcosx is strictly increasing...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |