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

Let `f(x)=x,|x|`. The set of points where f (x) is twice differentiable is

A

`AA x in R`

B

`AA x in R -(0)`

C

`AA x in R - (0,1)`

D

`AA x in R-(1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x|x| . Then the set of points where f(x) is twice differentiable is -

Let f(x) = |x|-1|, then points where f(x), is not differentiable is/are :

Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x) is non derivable, is :

Let f(x)=[n+p sin x], x in (0, pi) n in Z and p is a prime number, where [.] denotes the greatest integer function. Then find the number of points where f(x) is not differentiable.

Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on (-oo,oo) such that f'(-pi)=1. The value of |g^''(-pi)| equals __________

Let f(x) be differentiable function and g(x) be twice differentiable function. Zeros of f(x),g^(prime)(x) be a,b respectively, (a < b) . Show that there exists at least one root of equation f^(prime)(x)g^(prime)(x)+f(x)g(x)=0 on (a , b) .

Let f:(-1,1) to R be a function defined by f(x)="max"{-|x|, -sqrt(1-x^(2))} . If K be the set of all points at which f is not differentiable, then K has exactly :

Let f(x)=(x)/(1+|x|) Interval of increase of f(x) is -

Let f(x){{:(max.{absx,x^2}","" "absxle2),(" "8-2absx","" "2ltabsxle4):} .Let S be the set of points in the interval (-4,4) at which f is not differentiable. Then S

Let f(x)=[tanx[cotx]], x in [(pi)/(12),(pi)/(2)), (where [.] denotes the greatest integer less than or equal to x). The number of points, where f(x) is discontinuous is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. The eccentricity of an ellipse, the length of whose minor axis is equa...

    Text Solution

    |

  2. The equation of a tangent to the hyperbola x^(2)-2y^(2)=2 parallel to ...

    Text Solution

    |

  3. Let f(x)=x,|x|. The set of points where f (x) is twice differentiable ...

    Text Solution

    |

  4. If f(x+y)=f(x)+f(y) for all real x and y and if f (x) is continuous at...

    Text Solution

    |

  5. If the straight line y=4x-5 touches the curve y^(2)=px^(3)+q at (2, 3)...

    Text Solution

    |

  6. If A and B are square matrices of the same order, then AB = 0 implies

    Text Solution

    |

  7. If the sum of the roots of the equation 2x^(2)+4x+C=0 be equal to the ...

    Text Solution

    |

  8. If in an arithmetic progression, the sum of n terms is equal to the su...

    Text Solution

    |

  9. If f(x)=x(x-1)(x-2), 0 le x le 4, then the point xi which satisfies Me...

    Text Solution

    |

  10. If log(a)x=y, then the value of loga(a/x) is

    Text Solution

    |

  11. The sides of the rectangle of the greatest area that can be inscribed ...

    Text Solution

    |

  12. The polar co-ordinates of the point (-sqrt(3), 1) are

    Text Solution

    |

  13. If two sides of a triangle are 2sqrt""3-2 and 2sqrt""3+2 and their inc...

    Text Solution

    |

  14. The solution of the equation (dy)/(dx)=xy+y subject to the conditions,...

    Text Solution

    |

  15. An integrating factor of the differential equation (dy)/(dx)(x log x)+...

    Text Solution

    |

  16. Which one of the following is incorrect for any two events A and B ?

    Text Solution

    |

  17. The sum of the infinite series 1+(1)/(|ul(2))+(1.3)/(|ul(4))+(1.3.5)/(...

    Text Solution

    |

  18. Two mappings f : R to R and g : R to R are defined in the following wa...

    Text Solution

    |

  19. If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geom...

    Text Solution

    |

  20. Let y=a(1-cos theta), x = a(theta - sin theta). Then y regarded as a f...

    Text Solution

    |