Home
Class 12
MATHS
Show that the function given by f(x) = s...

Show that the function given by `f(x) = sinx` is neither increasing nor decreasing in `(0, pi)`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

f(x) = cos x is neither increasing nor decreasing in (0,2pi)

Show that the function given by f(x) = sinx is increasing in (0,pi/2) .

Prove that the function / 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: (i) strictly increasing , (ii) strictly decreasing.

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

Show that the function given by f(x) = 3x + 17 is increasing on R.

Show that the function f given by f(X) = 7x - 3 is strictly increasing on R.

Show that the function given by f(x) = 7x-3 , is increasing on R.

Show that the function given by f(x) = e^2x is increasing on R.

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

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

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. f(x) = sin x is a strictly increasing in (0, pi/2)

    Text Solution

    |

  2. f(x) = sin x is a strictly decreasing in (pi/2,pi)

    Text Solution

    |

  3. Show that the function given by f(x) = sinx is neither increasing no...

    Text Solution

    |

  4. Prove that f(x) = 2 sinx + 1 is an increasing function on [0,pi/2]

    Text Solution

    |

  5. f(x) = tan^-1(sinx+cosx) is strictly decreasing function on (pi/4,pi/2...

    Text Solution

    |

  6. Prove that the logarithmic function is increasing on (0,∞).

    Text Solution

    |

  7. Prove that the function f given by f(x) = log sin x is strictly increa...

    Text Solution

    |

  8. Prove that f(x)="log""cos"x is strictly decreasing on (0,pi/(2)) and s...

    Text Solution

    |

  9. Find the intervals in which the following functions are increasing: x^...

    Text Solution

    |

  10. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  11. Find the intervals in which the functions: f(x) =x^3 + 2x^2 - 1is stri...

    Text Solution

    |

  12. Find the intervals in which the function f(x) = 30 - 24 x + 1 5x^2- 2...

    Text Solution

    |

  13. Find the values of 'a for which the function : f(x) = x^2 - 2ax + 6 is...

    Text Solution

    |

  14. Find the value of 'a' for which f(x) = sinx - ax + b is decreasing fun...

    Text Solution

    |

  15. Find the values of x for which y = [x(x-2)]^2 is an increasing functio...

    Text Solution

    |

  16. Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a ...

    Text Solution

    |

  17. Determine for which values of x, the following function are increasing...

    Text Solution

    |

  18. Determine for which values of x, the following function are increasing...

    Text Solution

    |

  19. Determine for which values of x, the following function are increasing...

    Text Solution

    |

  20. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |