Home
Class 12
MATHS
f(x) = cos x is strictly decreasing in (...

f(x) = cos x is strictly 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 strictly increasing in (pi,2pi)

Prove that f(x)="cos"x is strictly decreasing (0,pi)

f(x) = sin x is a strictly increasing in (0, pi/2)

Prove that the function f given by f (x) = log (cos x) is strictly decreasing on (0,pi/2)

Prove that the function f(X) = cosx is strictly decreasing (0,pi) and strictly increasing on (pi,2pi)

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

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

Prove that the function 'f' given by f (x) = log sin x is strictly increasing on (0,pi/2)

Without using the dervative, show that f(x) = |x| is strictly decreasing in (-infty,0)

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Prove that the function given by f(x) = x^3 - 3x^2 + 3x - 100 is incre...

    Text Solution

    |

  2. Prove that f(x) = 4x^3 - 6x^2 + 3x + 12 is strictly increasing functio...

    Text Solution

    |

  3. f(x) = cos x is strictly decreasing in (0, pi)

    Text Solution

    |

  4. f(x) = cos x is strictly increasing in (pi,2pi)

    Text Solution

    |

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

    Text Solution

    |

  6. f(x) = sin x is a strictly increasing in (0, pi/2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |