Home
Class 12
MATHS
if f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|...

if `f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|x|)`then set of points at which the function if non differentiable is

A

`{-2 , 2 , 1 , 3}`

B

`{-2 , 0 , 3}`

C

`{-2 , 2 , 0}`

D

{1 , 3}

Text Solution

Verified by Experts

The correct Answer is:
D
f(x) = `(x + 2) (x-2) |(x-1) (x-2) (x-3)| + (x)/(1 + |x|)`
`(x-1) (x-2) (x-3)` is not differentiable at x = 1, 3 only.
`(x)/(1 + |x|)` is always differentiable .
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    CAREER POINT|Exercise PART (C) - MATHS|30 Videos

Similar Questions

Explore conceptually related problems

The set of points where the function f(x)=x|x| is differentiable is:

Let f(x)=(x^(2)-3x+2)(x^(3)-6x^(2)+11x-6)|+|sin(x+(pi)/(4))| The set of points at which the function f(x) is not differentiable in [0,2pi] is

Let f(x)=(x^(2)-3x+2)|(x^(3)-6x^(2)+11x-6)|+|sin(x+(pi)/(4))| Number of points at which the function f(x) is non-differentiable in [0,2 pi], is

The set of all points where the function f(x)=3sqrt(x^(2)|x| is differentiable,is )

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

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

f(x)=x^(3)-6x^(2)+11x-6;g(x)=x-3

The set of points where the function f given by f(x)=|2x-1|sin x is differentiable is

CAREER POINT-MOCK TEST 1-PART (C) - MATHS
  1. If a-1,a2, ,an are positive real numbers whose product is a fixed num...

    Text Solution

    |

  2. int(0)^(pi//4)"sin" x d(x- [x]) is equal to , where [x] denotes greate...

    Text Solution

    |

  3. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is y...

    Text Solution

    |

  4. Find the area of the smaller part of the circle x^2+y^2=a^2cut off by...

    Text Solution

    |

  5. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) +...

    Text Solution

    |

  6. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , wher...

    Text Solution

    |

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

    Text Solution

    |

  8. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

    Text Solution

    |

  9. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  10. If a !=b != c, lf ax + by + c = 0, bx + cy + a = 0 and cx+ay + b = ...

    Text Solution

    |

  11. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^...

    Text Solution

    |

  12. If the point (1, a) lies in between the lines x + y =1 and 2(x+y) = 3 ...

    Text Solution

    |

  13. A line L is perpendicular to the curve y= (x^2) / 4 - 2 at its point p...

    Text Solution

    |

  14. If g (x) = int(0)^(x) ln(sec t tan t - sec^(2)t + 1) dt , then set of ...

    Text Solution

    |

  15. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  16. I = int(dx)/(e^(x) + 4.e^(-x)) dx =

    Text Solution

    |

  17. Let U be the universal set and A uu B uu C = U . Then {(A - B) uu (B- ...

    Text Solution

    |

  18. If Delta(x) = |{:(x ,, 1+ x^(2) ,, x^(3)), ("log" (1+ x ^(2)) ,, e^(x...

    Text Solution

    |

  19. If bar X1 and bar X2 are the means of two series such that bar X1 lt...

    Text Solution

    |

  20. The mean age of a combined group of men and women is 25 yrs . If mean...

    Text Solution

    |