Home
Class 12
MATHS
The set of all points, where the functi...

The set of all points, where the function ` f (x) = x/(1+|x|) ` is differentiable, is

A

`(-infty,infty)`

B

`(0,infty)`

C

`(-infty,0)cup(0,infty)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos
  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|27 Videos

Similar Questions

Explore conceptually related problems

The set of all points where the function f(x)=3sqrt(x^(2)|x| is differentiable,is )

The set of all points where the function f(x)=sqrt(1-e^(-x^(2))) is differentiable is :

The set of points where the function f given by f(x) = |2x-1| sinx is differentiable is

The set of points where the function f(x)=|x-1|e^(x) is differentiable, is

The set of points where the function f(x) given by f(x)=|x-3|cos x is differentiable, is R( b) R-{3}(c)(0,oo)(d) none of these

The function f(x)=(x)/(1+|x|) is differentiable in:

KVPY PREVIOUS YEAR-MOCK TEST 2-EXERCISE
  1. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

    Text Solution

    |

  2. Let f(x)=sin^(3)x+lambda sin^(2)x where -pi//2ltxltpi//2. Find the i...

    Text Solution

    |

  3. The set of all points, where the function f (x) = x/(1+|x|) is dif...

    Text Solution

    |

  4. Let f: [-2, 3] -> [0, oo) be a continuous function such that f (1-x...

    Text Solution

    |

  5. Let f be a real valued function such that for any real x,f(lambda+x)=f...

    Text Solution

    |

  6. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...

    Text Solution

    |

  7. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  8. The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...

    Text Solution

    |

  9. Find the value of int(-1)^(3/2)|xsinpix|dx

    Text Solution

    |

  10. Three points P, Q and R are selected at random from the cirumference o...

    Text Solution

    |

  11. A quadratic polynomial maps from [-2, 3] onto [0, 3] and touches x-axi...

    Text Solution

    |

  12. if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[...

    Text Solution

    |

  13. Universal set, U={x|x^(5)-6x^(4)+11x^(3)-6x^(2)=0} A={x|x^(2)-5x+...

    Text Solution

    |

  14. If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...

    Text Solution

    |

  15. Let f(x) be defined by f(x) = x- [x], 0!=x in R, where [x] is the grea...

    Text Solution

    |

  16. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  17. The value of int0^1lim(n->oo)sum(k=0)^n(x^(k+2)2^k)/(k!)dx is:

    Text Solution

    |

  18. The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...

    Text Solution

    |

  19. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  20. The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is 3 b. ...

    Text Solution

    |