Home
Class 12
MATHS
The number of points at which the functi...

The number of points at which the function,
`f (x)={{:(min {|x|"," x ^(2)}),(min (2x -1"," x^(2)}):}if x in (-oo,1)` otherwise is not differentiable is:

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

The number of critical points of the function f(x)=|x-1||x-2| is

The number of the points where the function f(x)=min_({|x|-1,|x-2|)|-1} is NOT derivable,is

The function f(x)=min{x-[x],-x-|-x|} is a

Find the number of critical points of the function f (x) = min (tan x , cos x) , x in (0 , pi)

Consider the function f(x)=min{|x^(2)-9|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

The total number of points where the function f(x)=|x+2|+|x-1| is not differentiable is

If f(x)={min(x,x^(2)),x<=0 and min(2x,x^(2)-1),x<0 ,then find the number of non-differentiable points of f(x)

The function f(x) = min {|x|, sqrt(1-x^(2))}, -1lt x lt 1 possesses

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If f(x)={a x+b ,\ xlt=-1a x^3+x+2,\ x > -1 is differentiable for all...

    Text Solution

    |

  2. Find derivative of : f(x)=cos x+|cos x|a t x=pi/2

    Text Solution

    |

  3. The number of points at which the function, f (x)={{:(min {|x|"," x ...

    Text Solution

    |

  4. If incident ray from point (-3, 2) parallel to the axis of parabola...

    Text Solution

    |

  5. Let f be differentiable at x=a\ a n d\ l e t\ f(a)!=0. Evaluate (lim)(...

    Text Solution

    |

  6. Show that the function f(x)={x^msin(1/x)0 ,x!=0,x=0 is differentiab...

    Text Solution

    |

  7. Let f(x)=sgn(x) and g(x)= x(1-x^2), The number of points at which f(...

    Text Solution

    |

  8. Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...

    Text Solution

    |

  9. Discuss the differentiability of f(x)={(x-e)2^(- 2^((1/((e-x))))), x!=...

    Text Solution

    |

  10. Find the domain of f^(prime)(x) if f(x)=[x/(1+|x|)]if\ |x|geq1 , x...

    Text Solution

    |

  11. If f(x) is differentiable at x=a and f^(prime)(a)=1/4dot Find (lim)(h-...

    Text Solution

    |

  12. Let f be a differentiable function satisfying f(x/y)=f(x)-f(y) f...

    Text Solution

    |

  13. Suppose f is a derivable function that satisfies the equation f(x+y...

    Text Solution

    |

  14. If f(x+y)=f(x)dotf(y),\ AAx in R\ a n df(x) is a differentiability...

    Text Solution

    |

  15. If f(x+y)=f(x)+f(y),AAx ,\ y in R then prove that f(k x)=kf(x)for\ AA...

    Text Solution

    |

  16. Discuss the differentiability of f(x)={(sinx^2)/x ,x!=0 0,x=0a tx=0

    Text Solution

    |

  17. Discuss the differentiability of f(x)=|x|||x-1|dot

    Text Solution

    |

  18. Discuss the differentiability of f(x)=m a xi mu m{2sinx ,1-cosx}AAx...

    Text Solution

    |

  19. Discuss the differentiability of f(x)=e^(-|x|)

    Text Solution

    |

  20. If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b...

    Text Solution

    |