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

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

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) = log_(1//4) x is strict increasing on (0, infty)

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

The function f(x)=7x-3 is a strictly increase function on R.

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

Find the least value of a so that the function f(x) = x^2 + ax + 1 is strictly increasing on (1, 2).

Show that the function f(x) = x^3-6x^2 + 15x + 4 is strictly increasing in R.

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

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Is the function f(x) =x^2, xinR increasing?

    Text Solution

    |

  2. True or False statements: The rate of change of sin x w.r.t. cos x i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |