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|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(1)/(1+e^(1/x)),quad x!=00,quad 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

If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. Continuous as well as differentiable for all x b. Continuous for all x but not differentiable at x=0 c. Neither differentiable nor continuous at x=0 d. Discontinuous every where

show that f(x) =|x| is continuous but not differentiable at x =0

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

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if

If f(x)={xe^-(1/|x|+1/x) , x!=0 ,, 0, x=0 (1) discontinuous everywhere(2) continuous as well as differentiable for all x(3) continuous for all x but not differentiable at x=0(4) neither differentiable nor continuous at x = 0

A function which is continuous and not differentiable a x=0 is

RESONANCE DPP-JEE MAINS-All Questions
  1. The equation 2log(x+3)="log"(alphax) has only one solution if alpha=12...

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Normals A O ,AA1a n dAA2 are drawn to the parabola y^2=8x from the poi...

    Text Solution

    |

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

    Text Solution

    |

  16. If xa n dy are of same sign, then the value of (x^3)/2cos e c^2(1/2ta...

    Text Solution

    |

  17. The sum of two positive quantities is equal to 2ndot the probability ...

    Text Solution

    |

  18. If p, q are positive integers, f is a function defined for positive n...

    Text Solution

    |

  19. Which of the following is the solution set of the equation 2cos^(-1)x=...

    Text Solution

    |

  20. If 2^2pi//sin^((-1)x)-2(a+2)^pi//sin^((-1)x)+8a<0 for at least one rea...

    Text Solution

    |