Home
Class 12
MATHS
Which of the following function is not d...

Which of the following function is not differentiable at `x=0?` `f(x)=min{x ,sinx}` `f(x)={0,xgeq0x^2,x<0` (c) `f(x)=x^2sgn(x)`

A

Only (i)

B

Only (ii)

C

Only (iii)

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder(Topicwise)|65 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Which of the following function is not differentiable at x=0?f(x)=min{x,sin x}f(x)={[0,x>=0x^(2),x<0( c) f(x)=x^(2)sgn(x)

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

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

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

Show that the function f(x)=x^3/2 is not differentiable at x=0.

Which of the following function has point of extremum at x=0? f(x)=e^(-|x|) f(x)="sin"|x| f(x)={x^2+4x+3,x<0-x , xgeq0 f(x)={|x|,x<0{x},0lt=x<1 (where {x} represents fractional part function).

In which of the following functions is Rolles theorem applicable? (a)f(x)={x ,0lt=x<1 0,x=1on[0,1] (b)f(x)={(sinx)/x ,-pilt=x<0 0,x=0on[-pi,0) (c)f(x)=(x^2-x-6)/(x-1)on[-2,3] (d)f(x)={(x^3-2x^2-5x+6)/(x-1)ifx!=1,-6ifx=1on[-2,3]

Check the nature of the following differentiable functions (i) f(x) = e^(x) +sin xc,x in R^(+) (ii)f(x)=sinx+tan x- 2x,x in(0,pi//2)

Consider the following statements: 1. The function f(x)=|x| is not differentiable at x=1. 2. The function f(x)=e^(x) is not differentiable at x=0. Which of the above statements is/are correct ?

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-2 : Concept Applicator
  1. Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^...

    Text Solution

    |

  2. if y=logx*e^((tanx+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  3. Find the values of aa n db if f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1 is di...

    Text Solution

    |

  4. Which of the following functions is not differentiable at x=1?

    Text Solution

    |

  5. If f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+…"to "infty,the...

    Text Solution

    |

  6. if f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|x|)then set of points at which...

    Text Solution

    |

  7. Number of point where function f(x) defined as f:[0,2pi] rarrR,f(x)={{...

    Text Solution

    |

  8. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |

  9. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pri...

    Text Solution

    |

  10. Which of the following function is not differentiable at x=0? f(x)=mi...

    Text Solution

    |

  11. If y=[(tanx)^(tanx)]^(tanx),then at x=pi/4 , the value of (dy)/(dx)=

    Text Solution

    |

  12. Given F(x)=f(x)phi(x) and f'(x)phi'(x)=c then prove that F''(x)/F(x)=...

    Text Solution

    |

  13. Let f"":""RvecR be a function defined by f(x)""=""M in""{x""+""1,""...

    Text Solution

    |

  14. If (x-a)^2+(y-b)^2=c^2, for some c >0, p rov et h a t([1+((dy)/(dx))^...

    Text Solution

    |

  15. Let f''(x) be continuous at x = 0 and f"(0) = 4 then value of lim(x->0...

    Text Solution

    |

  16. If f(x) and g(x) ar edifferentiable function for 0lex le1 such that f(...

    Text Solution

    |

  17. Let f"[2,7]rarr[0,oo) be a continuous and differentiable function. The...

    Text Solution

    |

  18. The equation e^(x-8) + 2x - 17 = 0 has :-

    Text Solution

    |

  19. If f(x)=(tan[x]pi)/([1+|log(sin^2x+1)|],where [.] denotes the greatest...

    Text Solution

    |

  20. If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2...

    Text Solution

    |