Home
Class 12
MATHS
Consider the greatest integer function, ...

Consider the greatest integer function, defined by `f(x) =[x],0 le x lt 2`. Then,

A

f is derivable at x=1

B

f is not derivable at x=1

C

f is derivable at x =2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos
  • SOLVED PAPER 2019 BITSAT

    BITSAT GUIDE|Exercise PART -IV ( Mathematics ) |45 Videos

Similar Questions

Explore conceptually related problems

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Find all the points of discontinuity of the greatest integer function defined by f(x)=[x], where [x] denotes the greatest integer less than or equal to x.

Prove that the greatest integer function defined by f(x)=[x],0

Statement-1 : If f : [-3, 3] rarr R is defined as f(x) = [(x^(2))/(a)] , then f(x) = 0, AA x in D_(f) , iff a in (9, oo) . ([x] denotes the greatest integer function) and Statement - 2: [x] = 0, AA 0 le x lt 1 .

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

If f be greatest integer function defined asf(x)=[x] and g be the mdoulus function defined as g(x)=|x|, then the value of g of (-(5)/(4)) is _____

If f:Irarr I be defined by f(x)=[x+1] ,where [.] denotes the greatest integer function then f(x) is equal to

Let f:" "R->R be the Signum Function defined as f(x)={1,""""""""""""x >0 0,""""""""x=0-1,""""""""x R be the Greatest Integer Function given by g(x)" "=" "[x] , where [x] is greatest integer less than or equal to x. Then does fo

BITSAT GUIDE-SOLVED PAPER 2017 -PART (IV) Mathematics)
  1. If a function f:RtoR satisfy the equation f(x+y)=f(x)+f(y),AAx,y and t...

    Text Solution

    |

  2. The value of f(0) so that the function f(x) = (2x - sin^(-...

    Text Solution

    |

  3. Consider the greatest integer function, defined by f(x) =[x],0 le x lt...

    Text Solution

    |

  4. The function f(x)=-2x^(3)+21x^(2)-60x+41,in the interval (-oo,1),

    Text Solution

    |

  5. Rolle's theorem is not applicable to the function f(x) =|x| defined o...

    Text Solution

    |

  6. If the two curves y = a^x and y =b^x intersect at an angle alpha, then...

    Text Solution

    |

  7. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

    Text Solution

    |

  8. The maximum value of f(x)=x+sin2x,x in[0,2pi] is

    Text Solution

    |

  9. The area bounded by the curve y =|cos x-sinx|, 0<=x<=pi/2 and above...

    Text Solution

    |

  10. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

    Text Solution

    |

  11. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

    Text Solution

    |

  12. ("lim")(xvecoo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, the...

    Text Solution

    |

  13. If the papers of 4 students can be checked by any one of the 7 teac...

    Text Solution

    |

  14. if the equation (10x-5)^2+(10y-4)^2 = lambda^2 (3x+4y-1)^2 represents ...

    Text Solution

    |

  15. Let hataandhatb be two non -collinear unit vectors .If u=hata-(hata*ha...

    Text Solution

    |

  16. If the variance of the observations x(1),x(2),……,x(n) is sigma^(2), th...

    Text Solution

    |

  17. Coefficients of variation of two distributions are 50 and 60, and thei...

    Text Solution

    |

  18. The maximum vlaue of Z = 9x+13y subject to constraints 2x+3yle 18, ...

    Text Solution

    |

  19. A coin is tossed 7 times.Each time a man calls head.The probability th...

    Text Solution

    |

  20. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and f(1)=2. f(p+q)=f(p). f(q)AAp,q...

    Text Solution

    |