Home
Class 11
MATHS
If f(x)=|x-1|1+x^2.Is f'(x) exist?examin...

If `f(x)=|x-1|1+x^2`.Is f'(x) exist?examine it.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 8

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • Model Test Set - 1

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

Sketch the graph of f(x)=|x-4|-2. From the graph examine whether f(x) is continuous at x = 4 or not.

If f(x)=2^x the f(x+3)/ f(x-1) =?

Let f(x)={1+(2x)/a ,0lt=x 1)f(x) exists ,then a is (a) 1 (b) -1 (c) 2 (d) -2

If f(x)=|x-1|-[x], \where\ [x] is the greatest integer less then or equal to x , then (A) f(1+0)=-1,f(1-0)=0 (B) f(1+0)=0=f(1-0) (C) ("lim")_(x to1)f(x) exists (D) ("lim")_(x to1)f(x) does not exist

If f(x) = 1/(1-x) , then f[f{f(x)}] is

Sketch the graph of f(x)=(|x|)/(x), f(0)=1. From the graph examine the continuity of f(x) at x = 0.

Draw the graph of the function f(x)=(x^2-1)/(x-1) and from the graph examine whether f(x) is continuous at x = 1 and x = 2.

If f(x)=x^2-3x+1 , then find f(1) .

Examine whether f(x)=|x+1| has a derivative at x = - 1 .

If f(x)=x^2-2x+1 , then find f(1)

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

    Text Solution

    |

  2. Express(sqrt3-i)/(1-sqrt3i)in modulus amplitude form

    Text Solution

    |

  3. In /\XYZthe equation of the perpendicularbisector of XY and XZ arc x-y...

    Text Solution

    |

  4. Find the co-ordinate of the image of the point (-3, -1), with respect ...

    Text Solution

    |

  5. Show that the circle with the portion of the line 3x + 4y = 12 interce...

    Text Solution

    |

  6. Find the equation to the locus of a point whose distance from YZ plane...

    Text Solution

    |

  7. Evaluate the following limits :lim(xrarr0)(xtan2x-2xtanx)/((1-cos2x)^2...

    Text Solution

    |

  8. If f(x)=|x-1|1+x^2.Is f'(x) exist?examine it.

    Text Solution

    |

  9. Using contrapositive method show tha the compund statement .is true or...

    Text Solution

    |

  10. Show that sqrt3is irrational. (Use the method of contradiction).

    Text Solution

    |

  11. If the letters of the word PROBABILITY be arranged at random, find the...

    Text Solution

    |

  12. AM and SD of 7- observations are 8 and 4. If 5.of the 7 observations a...

    Text Solution

    |

  13. Find the maximum and minimum value of 5costheta+12sintheta+12

    Text Solution

    |

  14. Show that the equations,sin^2theta=sin^2alpha,cos^2theta=cos^2alphaand...

    Text Solution

    |

  15. Solve :barz=iz^2(z being a complex number)

    Text Solution

    |

  16. Find the sum of the numbers from 1 to 100 which are not divisible by 3...

    Text Solution

    |

  17. Out of 17 comodities 12 are same type and 5 are different type. Find t...

    Text Solution

    |

  18. Show that the equation of the cord.of the parabola x^2=4aythrough (x1,...

    Text Solution

    |

  19. Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and...

    Text Solution

    |

  20. Find the equation of a hyperbola whose focus. equation of directrix an...

    Text Solution

    |