Home
Class 12
MATHS
Let f(x)=((x-1)^(n))/(logcos^(m)(x-1)),0...

Let `f(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2,m` and `n` are intgers, `m!=0,ngt0`, and let p be the left hand derivative of `|x-1|` at `x=1`. If `lim_(xto1^(+))g(x)=p`, then :

A

`n=1,m=1`

B

`n=1,m=-1`

C

`n=2,m=2`

D

`ngt2,m=n`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise Latest Question from AIEEE/JEE Examinations|7 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(x)/(1+x)-log(1+x) , when x gt 0 , then f is :

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

The value of lim_(xto0)(1/(x^(2))-cotx) is

Let f(x) = int_2^(x) (dt)/(sqrt(1+t^(4))) and g be the inverse of f. Then g^('1)(0) =

Let f(x)=int (x^2)/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 ,Then f(1) is :

Evaluate lim_(xto1)(x^(2)-3x+2)/(x-1)

lim _( xto 0 ) (e^(x) -1)/( sin 4x)

If m and n are the roots of the equations x^(2) - 6x+ 2 =0 then the value of (1)/(m) + (1)/( n) is :

MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -MCQs (LEVEL-II)
  1. If y=(sinx)^cosx, then find (dy)/(dx).

    Text Solution

    |

  2. The function f(x)=(x^(2)-1)|x^(2)-3x+1|+cos(|x|) is not differentiable...

    Text Solution

    |

  3. If y=ce^(x//(x-a)), then 1/y(dy)/(dx) is equal to :

    Text Solution

    |

  4. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  5. If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to

    Text Solution

    |

  6. Derivative of (log x)^(4) is

    Text Solution

    |

  7. If x=e^(y+e^(y+ . . . . .. "to "oo)),xgt0, then (dy)/(dx) is :

    Text Solution

    |

  8. Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...

    Text Solution

    |

  9. If f is a real valued differentiable function satisfying : |f(x)-f(y...

    Text Solution

    |

  10. If f(x)=||x|-1|, then it is non - derivable at :

    Text Solution

    |

  11. If f:R to T is continuous and differentiable function such that f((1)/...

    Text Solution

    |

  12. If xsiny+ycosx=pi, then the value of y''(0) is :

    Text Solution

    |

  13. The set of points, where f(x)=(x)/(1+|x|) is differentiable, is :

    Text Solution

    |

  14. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

    Text Solution

    |

  15. Let f(x) be differntiable on the interval (0,oo) such that f(1)=1 and ...

    Text Solution

    |

  16. Let f: R to R be a function defined by : f(x)="Min".{x+1,|x|+1}. T...

    Text Solution

    |

  17. Let f(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2,m and n are intgers, m!...

    Text Solution

    |

  18. Let y be an implicit fuction of x defined by : x^(2x)-2x^(x) cot y-1...

    Text Solution

    |

  19. Let f(x){{:((x-1)"sin"(1)/(x-1)", "ifx!=1),(" 0, ...

    Text Solution

    |

  20. Let g(x)=log(f(x)), where f(x) is a twice differentiable positive func...

    Text Solution

    |