Home
Class 12
MATHS
Let f(x) = x[x], xinz, [.] is GIF then "...

Let f(x) = x[x], x`in`z, [.] is GIF then `"f"^(')(x)` =

A

2x

B

[x]

C

2[x]

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
For x `notin` z, [x] is diff. and is same constant so f'(x) = [x]
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    CAREER POINT|Exercise PART (C) - MATHS|30 Videos

  • MOCK TEST 3

    CAREER POINT|Exercise MATHS|30 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = (x)/(1+|x|), x in R , then f is

" Let "f:(3,6)rarr(1,4)" defined by "f(x)=x-[(x)/(3)]" where "[.]" is the "GIF" then "f^(-1)(x)

Let f(x)=[x], then f'(x) is

[x]>-0.5[.]= G.I.F then

Let f(x)=x-[x],x in R, then f'((1)/(2)) is

Let F(x) = x|x| , x = 1 then

Let f(x)=x-[x], then f'(x)=1 for

Let f (x) = |sin x| then f (x) is

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is

CAREER POINT-MOCK TEST 2-PART ( C)- MATHS
  1. If z is a complex number, then the minimum value of |z|+|z-1| is -

    Text Solution

    |

  2. x+y+z=15 if 9, x, y, z, a are in A.P. while (1)/(X)+(1)/(Y)+(1)/(Z)=(5...

    Text Solution

    |

  3. lim(hto0)(1)/(h)int(x)^(x+h)(dz)/(z+sqrt(z^(2)+1)) is equal to -

    Text Solution

    |

  4. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  5. If f(x) = e^(x), then lim(xto0) (f(x))^((1)/({f(x)})) (where { } deno...

    Text Solution

    |

  6. Let f(x) = x[x], xinz, [.] is GIF then "f"^(')(x) =

    Text Solution

    |

  7. If f(x)={{:(,[x]+[-x],,,xne2 ),(," "lamda,,,x=2):} then f is continuo...

    Text Solution

    |

  8. Let f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)2(b^2-2),x >1 Find the values ...

    Text Solution

    |

  9. The equations of the perpendicular bisector of the sides AB and perpen...

    Text Solution

    |

  10. If (1,a), (2,b), (c^2,3) are vertices of a triangle then its centroid ...

    Text Solution

    |

  11. A polygon has 25 sides, the lengths of which starting from the smalles...

    Text Solution

    |

  12. The area bounded by the curves y= x^(2)-2x-1, e^(x)+y+1=0 and ordinate...

    Text Solution

    |

  13. Let S be the set of real values of parameter lamda for which the equat...

    Text Solution

    |

  14. If f(x)=x^(3)+ax^(2)+ax+x(tantheta+cottheta) is increasing for all x ...

    Text Solution

    |

  15. If f(x) = { 3 + |x-k|, x leq k; a^2 -2 + sin(x-k)/(x-k), xgtk} has min...

    Text Solution

    |

  16. int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1)) dx is equal to -

    Text Solution

    |

  17. The void relation on a set A is

    Text Solution

    |

  18. If 0le[x]lt2,-1le[y]lt1and1le[z]lt3, where [*] denotes the greatest in...

    Text Solution

    |

  19. The system of equations 6x+5y+lamdaz= 0, 3z-y+4z= 0, x+2y-3z=0 has non...

    Text Solution

    |

  20. The median of following frequency distribution is {:(,"Class",,fi),(...

    Text Solution

    |