Home
Class 12
MATHS
True or False statements: The function...

True or False statements:
The function f(X) = `log_(1//4)` x is strict increasing on `(0, infty)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

True or False statements: The function f(x) = x^(1/3) is a strict increasing function on R.

True or False statements: The function f(X) = x|x| is strictly increasing on R.

True or False statements: The function f(x) = 1/3 x^3 - x is strictly decreasing on (-1,1)

The function f(x) = a^x is strict decreasing on R, If

Show that the function f(x) = (sin3x) is strict decreasing on (0, pi/2)

The function f(x) = log_e(x^3 + sqrt(x^6 +1)) is

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

Show that the function f (x) = (x)/(1+|x|) is a strict increasing function.

Show that the function f(x) = x -(1)/(x) is a strict increasing function fox x > 0

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

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. True or False statements: The rate of change of sin x w.r.t. cos x i...

    Text Solution

    |

  2. True or False statements: The function f(X) = x|x| is strictly incre...

    Text Solution

    |

  3. True or False statements: The function f(X) = log(1//4) x is strict ...

    Text Solution

    |

  4. True or False statements: If a function f has an extreme point at x ...

    Text Solution

    |

  5. True or False statements: Fermat Theorem If a function f has a loca...

    Text Solution

    |

  6. True or False statements: Tangent to the curve y = x^2 at x = 0 is p...

    Text Solution

    |

  7. True or False statements: The function f(X) = x|x| is strictly incre...

    Text Solution

    |

  8. True or False statements: A strict monotone function is always one-o...

    Text Solution

    |

  9. True or False statements: A one-one function is always an increasing...

    Text Solution

    |

  10. True or False statements: The function f(x) = 1/3 x^3 - x is strictl...

    Text Solution

    |

  11. True or False statements: The function f(x) = x^(1/3) is a strict in...

    Text Solution

    |

  12. True or False statements: If a function f is twice differentiable at...

    Text Solution

    |

  13. True or False statements: For any function f a local maximum value i...

    Text Solution

    |

  14. True or False statements: If a function f is such that f' (c ) = 0, ...

    Text Solution

    |

  15. True or False statements: e^pi < pi ^e

    Text Solution

    |

  16. The function f(x) = x^2, x inR has no maximum value.

    Text Solution

    |

  17. True or False statements: Maximum value of the function f(x) = 3 sin...

    Text Solution

    |

  18. True or False statements: Maximum value of the function f(x) = sin^4...

    Text Solution

    |

  19. True or False statements: The angle between the tangents to the curv...

    Text Solution

    |

  20. True or False statements: For x in (0, pi/2), sin x lt x lt tan x.

    Text Solution

    |