Home
Class 12
MATHS
The set of points, where f(x)=(x)/(1+|x|...

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

A

`(-oo,0) cup (0, oo)`

B

`(-oo, -1) cup (-1, oo)`

C

`(-oo, oo)`

D

`(0, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be a function defined by f(x) = max {x,x^(3)} . The set of all points where f(x) is not differentiable is

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

The function f(x)=(x^(2)-1)|x^(2)-3x+1|+cos(|x|) is not differentiable at :

The set of real values of x for which f(x)=(x)/(logx) is increasing is :

Prove that the function f given by f(x)= |x-1|, x in R is not differentiable at x= 1.

Let g(x)=log(f(x)) , where f(x) is a twice differentiable positive function on (0,oo) , such that f(x+1)=xf(x) . Then for N=1,2,3, . . .. . . .. . . g'(N+1/2)-g''((1)/(2))=

If the function f is defined by f(x)=(x)/(1+|x|) , then at what points is f differntiable ?

The function f(x)=cos|x|+(x^(2)-1)|x^(2)-3x+2| is not differentiable at :

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...

    Text Solution

    |

  2. If f is a real valued differentiable function satisfying : |f(x)-f(y...

    Text Solution

    |

  3. The set of points, where f(x)=(x)/(1+|x|) is differentiable, is :

    Text Solution

    |

  4. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

    Text Solution

    |

  5. If f(x)=log(x^(2))(log(e)x), then f'(x) at x=e is

    Text Solution

    |

  6. If y = f(x) is an even function such that f^(')(0) exists, then f^(')(...

    Text Solution

    |

  7. If f(x)=cot^(-1)(cos2x)^(1//2), then f'(pi//6) is :

    Text Solution

    |

  8. If f(x) is odd differentiable function defined on (-oo,oo), such that ...

    Text Solution

    |

  9. If f(x) = tan^(-1) [sqrt((1+sinx)/(1-sinx))], 0 le x le pi/2 then f^('...

    Text Solution

    |

  10. If x^(2)+y^(2) =1 then

    Text Solution

    |

  11. Let f:R toR be such that f(1)=3 and f(1)=6. Then lim(xto0)(f(1+x)/(f(1...

    Text Solution

    |

  12. If log (x+y) = 2xy, then y^(')(0) =

    Text Solution

    |

  13. y = sin^(-1)((2x)/(1 + x^2))

    Text Solution

    |

  14. If y = sin^(-1) ((1-x^(2))/(1+x^(2))), then dy/dx =

    Text Solution

    |

  15. Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1+3x) at x = -1/3 is

    Text Solution

    |

  16. If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2)...

    Text Solution

    |

  17. If the function f is defined by f(x)=(x)/(1+|x|), then at what points ...

    Text Solution

    |

  18. If 3sin(xy) + 4 cos (xy) = 5, then dy/dx =

    Text Solution

    |

  19. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |

  20. If sin y = x. sin (a + y) then dy/dx =

    Text Solution

    |