Home
Class 12
MATHS
Which of the following function is conti...

Which of the following function is continuous everywhere but not differentiable at atleat one point in its domain

A

`f(x)=x^(1/3)`

B

`f(x)=|x|^(1/3)`

C

`f(x)=x^(2//3)`

D

`(|x|)/x`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Which of the following functions is one-one?

Which one of the following functions is one-one?

Which of the following functions is not continuous AAx in R ?

Which one of the following is a function

Which one of the following functions is not one-one?

Which of the following function is non- differentiable ?

Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.

Which of the following functions has a domain of x le 3 ?

Give an example of a function which is continuous but not differentiable at a point.

Which of the following function is thrice differentiable at x=0?

ALLEN-TEST PAPERS-MATHEMATICS
  1. If f(x) is defined in -1lexle3 in the figure as shown then choose corr...

    Text Solution

    |

  2. If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...

    Text Solution

    |

  3. Which of the following function is continuous everywhere but not diffe...

    Text Solution

    |

  4. If I(x)=int(sinx-cosx)/(|sinx-cosx|)dx, where (pi)/4ltxlt(3pi)/8 and (...

    Text Solution

    |

  5. f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The...

    Text Solution

    |

  6. If f(x) is derivable at x=3 and f'(3)=2, then value of lim(hto0)(f(3+h...

    Text Solution

    |

  7. If int tan^(5) x dx = A tan^(4)x + B tan^(2) x+ g (x)+C, then

    Text Solution

    |

  8. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  9. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  10. Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...

    Text Solution

    |

  11. If f(x)=|x-1|+|x-3|,then value of f'(2) is equal to

    Text Solution

    |

  12. if y=(secx+tanx-1)/((-secx)+tanx+1), then find(dy)/(dx) at x=(pi)/(4).

    Text Solution

    |

  13. Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=...

    Text Solution

    |

  14. If alpha and beta are the roots of x^(2)+4x+6=0 and N=1/((alpha)/(beta...

    Text Solution

    |

  15. The number of solution of the equation 2(tanx-sinx)+3(cotx-cosx)+5=0x ...

    Text Solution

    |

  16. If n^(th) term (T(n)) of the sequece is given by the relation T(n+1)=T...

    Text Solution

    |

  17. If lamda(1) is the product of values of x satisfy the equation (x)^(lo...

    Text Solution

    |

  18. If (2tan^(2)theta(1)tan^(2)theta(2)tan^(2)theta(3)+tan^(2)theta(1)tan^...

    Text Solution

    |

  19. Value of "sin"^(6)(pi)/16+"sin"^(6)(3pi)/16+"sin"^(5pi)/16+"sin"^(6)(7...

    Text Solution

    |

  20. Number of solution of the equation sin^(2)x+(sin^(2)3x)/4=sinx sin 3x,...

    Text Solution

    |