Home
Class 12
MATHS
Write an example of a function which ...

Write an example of a function which is everywhere continuous but fails to be differentiable exactly at five points.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos

Similar Questions

Explore conceptually related problems

An example of a function which is continuous every where but fails to be differentiable exactily at two point is "……."

An example of a function which is continuous every where but fails to be differentiable exactily at two point is "……."

Give an example of a function which is one-one but not onto.

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

Is every continuous function differentiable?

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

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

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

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

Define differentiability of a function at a point.

RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. Show that the function f defined as follows f(x)={(3x-2 ,, 0ltxle1...

    Text Solution

    |

  2. Discuss the continuity and differentiability of f(x)={((x-c)cos(1/(x...

    Text Solution

    |

  3. Write an example of a function which is everywhere continuous but f...

    Text Solution

    |

  4. Discuss the continuity and differentiability of f(x)=|log|x||

    Text Solution

    |

  5. If f is defined by f(x)=x^2-4x+7, show that f^(prime)(5)=2f^(prime)...

    Text Solution

    |

  6. If f is defined by f(x)=x^2, find f^(prime)(2)dot

    Text Solution

    |

  7. Find the derivative of the function f defined by f(x)=m x+c at x=0.

    Text Solution

    |

  8. Discuss the continuity and differentiability of f(x)=e^(|x|)dot

    Text Solution

    |

  9. If for the function varphi(x) = lambdax^2+7x-4 , varphi' (5) = 97, ...

    Text Solution

    |

  10. Is |sinx| differentiable ?What about cos|x|?

    Text Solution

    |

  11. The set of points where the function f(x) given by f(x)=|x-3|cosx is d...

    Text Solution

    |

  12. If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)c...

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than ...

    Text Solution

    |

  15. Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f...

    Text Solution

    |

  16. The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the gre...

    Text Solution

    |

  17. Let f(x)={a x^2+1,x >1; x+1/2,x<=1.t h e n ,f(x) is derivable at x=1...

    Text Solution

    |

  18. Show that the function defined by g(x)= "x"-"[x] is discontinuous at a...

    Text Solution

    |

  19. It A is a symmetric matrix, write whether A^T is symmetric or skew - s...

    Text Solution

    |

  20. If f(x)={x^2+3x+a ,xlt=1, b x+2, forx >1 is everywhere differentiable...

    Text Solution

    |