Home
Class 12
MATHS
If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h...

If `f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x)` is continuous as well as differentiable at `x=0` continuous but not differentiable at `x=0` differentiable but not continuous at `x=0` none of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)={1/(1+e^(1//x)),\ \ \ \ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ x=0 , then f(x) is continuous as well as differentiable at x=0 (b) continuous but not differentiable at x=0 (c) differentiable but not continuous at x=0 (d) none of these

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous at x=0.

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

f(x) ={{:(1-sqrt(1-x^(2)),if -1lexle1),(1+ log ""(1)/(x), if xgt1):} (a) continuous and differentiable at x=1 (b) continuous but not differentiable at x=1 (c) neither continuous nor differentiable at x=1 (d) none of these

The function f : R rarr R given by f(x) = - |x-1| is (a) continuous as well as differentiable at x = 1 (b) not continuous but differentiable at x = 1 (c) continous but not differentiable at x = 1 (d) neither continous nor differentiable at x = 1

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

The function f(x)=e^(|x|) is (a) Continuous everywhere but not differentiable at x = 0 (b) Continuous and differentiable everywhere (c) Not continuous at x = 0 (d) None of the above

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The equation 2log(x+3)="log"(alphax) has only one solution if (a)alph...

    Text Solution

    |

  2. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

    Text Solution

    |

  3. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

    Text Solution

    |

  4. Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=...

    Text Solution

    |

  5. A box contains 1 black and 1 white ball. A ball is drawn randomly and ...

    Text Solution

    |

  6. On a normal standard die one of the 21 dots from any one of the six fa...

    Text Solution

    |

  7. If Sn=sum(r=1)^n r !(n >6),"t h e nf i n dt h ev a l u eo f" [cot^(-...

    Text Solution

    |

  8. Number of all four digit numbers having different digits formed of the...

    Text Solution

    |

  9. In how many ways 3 boys and 15 girls can sits together in a row such ...

    Text Solution

    |

  10. The letters of word ZENITH are written in all possible ways. If all th...

    Text Solution

    |

  11. A slip of paper is given to a person A who marks it either with a plus...

    Text Solution

    |

  12. If the number of ways in which the letters of the word ABBCABBC can...

    Text Solution

    |

  13. Find the number of positive integers not exceeding 100 which are div...

    Text Solution

    |

  14. Find the number of polynomials of the form x^3+a x^2+b x+c that are di...

    Text Solution

    |

  15. 2n objects of each of three kinds are given to two persons, so that ea...

    Text Solution

    |

  16. Set A is having roots of equation x^2+3x-10=0' .The set A is equal to...

    Text Solution

    |

  17. If f:[a,oo)->[a,oo) be a function defined by f(x)=x^2-2a x+a(a+1). If...

    Text Solution

    |

  18. Prove that the line joining the orthocentre to the centroid of a tr...

    Text Solution

    |

  19. Normal AO,AA(1),andAA(2) are drawn to the parabola y^(2)=8x from the p...

    Text Solution

    |

  20. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

    Text Solution

    |