Home
Class 12
MATHS
f(x)=[x] is step-up function. Is it a mo...

`f(x)=[x]` is step-up function. Is it a monotonically increasing function for `x in R ?`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

f(x)= mux-sinx , x>0 is a monotonic increasing funcrtion then

If f f(x)=mux-sinx, xgt0 is a monotonic increasing function then -

The function f(x)=(sinx+cosx) is an increasing function in

The function f(x)=cos x - 2ax is monotonically decreasing when-

The function f(x)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

The function f(x) =tan^(-1)(sinx+cosx) is an increasing function in

The function f(x) = ax + b is strictly increasing for all real x if

The function f(x)=|x| is -

Prove that f(x)=x-sinx is an increasing function.

If y = f(x) be monotonically increasing (or decreasing) function of x, then median of y is given by bary = f(barx) when barx and bary denote respectively the median of x and y.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. For the curve x y=c , prove that the portion of the tangent intercepte...

    Text Solution

    |

  2. Water is dropped at the rate of 2 m^3/s into a cone of semi-vertical a...

    Text Solution

    |

  3. f(x)=[x] is step-up function. Is it a monotonically increasing functio...

    Text Solution

    |

  4. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  5. Suppose a , b , c are such that the curve y=a x^2+b x+c is tangent to ...

    Text Solution

    |

  6. If fogoh(x) is an increasing function, then which of the following is...

    Text Solution

    |

  7. Show that the tangent to the curve 3x y^2-2x^2y=1a t(1,1) meets the cu...

    Text Solution

    |

  8. Let y=f(x) be drawn with f(0) =2 and for each real number a the line t...

    Text Solution

    |

  9. Let f:[0,oo)to[0,oo)a n dg:[0,oo)to[0,oo) be non-increasing and non-de...

    Text Solution

    |

  10. Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta....

    Text Solution

    |

  11. If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then...

    Text Solution

    |

  12. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

    Text Solution

    |

  13. If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, ...

    Text Solution

    |

  14. Is every invertible function monotonic?

    Text Solution

    |

  15. Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes throug...

    Text Solution

    |

  16. If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1...

    Text Solution

    |

  17. Prove that f(x)=x-sinx is an increasing function.

    Text Solution

    |

  18. Let f defined on [0, 1] be twice differentiable such that |f "(x)| ...

    Text Solution

    |

  19. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  20. f(x) = cosx-2ax monotonically decreases when

    Text Solution

    |