Home
Class 12
MATHS
Which of the following function is non-d...

Which of the following function is non-differentiable in domain? (a)`f(x)=(x-2)/(x^2+3)` (b) `f(x)=log|x|` (c)`f(x)=x^3logx` (d) `f(x)=(x-3)^(3/5)`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

Which of the function is non-differential at x=0? f(x)=|"x"^3|

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2(x(x-1)) (d) None of these

f(x)=log(x^3) ,f'(x)=?

Find the domain of (a) f(x)=1/(sqrt(x-[x])) (b) f(x)=1/(log[x]) (c) f(x)=log{x}

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Which of the following functions is one-one ? (1)f:R->R defined as f(x)=e^(sgn x)+e^(x^2) (2) f:[-1,oo) ->(0,oo) defined by f(x)=e^(x^2+|x|) (3)f:[3,4]->[4,6] defined by f(x)=|x-1|+|x-2|+|x-3|+x-4| (4) f(x) =sqrt(ln(cos (sin x))

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

If f(x) = logx, then d/(dx)f(logx) =

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax...

    Text Solution

    |

  2. Discuss the differentiability of f(x)=cos^(-1)((1-x^2)/(1+x^2))

    Text Solution

    |

  3. Which of the following function is non-differentiable in domain? (a)f(...

    Text Solution

    |

  4. Discuss the continuity of f(x)={1/(e^(x-1)),x!=1; 0,x=1

    Text Solution

    |

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

    Text Solution

    |

  6. Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x^3)/x ...

    Text Solution

    |

  7. If the function f(x)={((x^2-(A+2)x+A)/(x-2), "for" x ne 2),(2, "for"...

    Text Solution

    |

  8. If the function f: R- {0}-> R given by f(x)=1/x-2/(e^(2x)-1) is conti...

    Text Solution

    |

  9. L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], Iff(x)i s continuou...

    Text Solution

    |

  10. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

    Text Solution

    |

  11. f(x)={(2xtanx-pi/(cosx) ,, x!=pi/2),(k ,, x=pi/2):} i s \ c o n t i n ...

    Text Solution

    |

  12. Discuss the continuity of f(x) ={{:(((x^(2))/|x|,xne0),(0,x=0):}

    Text Solution

    |

  13. Let f(x)={(1+3x)^(1/x), x != 0e^3,x=0 Discuss the continuity of f(x) a...

    Text Solution

    |

  14. Discuss the differentiability of f(x)=||x^2-4|-12|dot

    Text Solution

    |

  15. f(x)=(lim)(n->oo)(sin(pix/2))^(2n) for x >0,x!=1,and f(1)=0. Discuss ...

    Text Solution

    |

  16. Discuss the continuity of f(x)={cot^(-1)x}({dot} represents the fract...

    Text Solution

    |

  17. Find the values for x in [1,3] where the function [x^(2)+1] ([,...

    Text Solution

    |

  18. If f(x)=x-2, x le 0 and 4-x^2,x > 0, then discuss the continuity of y...

    Text Solution

    |

  19. Discuss the continuity of f(x)=[tan^(-1)x]

    Text Solution

    |

  20. Find the number of points of discontinuity for f(x)=[6sinx], 0<=x<=pi

    Text Solution

    |