Home
Class 12
MATHS
If the third derivative of (x^(4))/((x-1...

If the third derivative of `(x^(4))/((x-1)(x-2))` is `(-12k)/((x-2)^(4))+(6)/((x-1)^(4))`, then the value of k is

A

2

B

4

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • METHODS OF DIFFERENTIATION

    CENGAGE|Exercise Single Correct Answer Type|46 Videos
  • MATRICES

    CENGAGE|Exercise Solved Examples And Exercises|165 Videos
  • METHODS OF DIFFERETIATION

    CENGAGE|Exercise Question Bank|29 Videos

Similar Questions

Explore conceptually related problems

if |[x+1,2],[4,x-1]|=0 then the value of x is

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

Let lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(k rarr k)(x^(3)-k^(3))/(x^(2)-k^(2)) then value of k is

If (x-4)/(x^(2)-5x-2k)=(2)/(x-2)-(1)/(x+k), then

If lim_(x to 1) (x^(3) - 1)/(x - 1) = lim_(x to k) (x^(4) - k^(4))/(x^(3) - k^(3)) , find the value of k.

CENGAGE-METHODS OF DIFFERENTIATION-Single Correct Answer Type
  1. If y=((alphax+beta)/(gammax+delta)), then 2(dy)/(dx).(d^(3)y)/(dx^(3))...

    Text Solution

    |

  2. If f(1)=3, f'(1) = 2, f''(1)=4, then (f^-)''(3)= (where f^-1=invers...

    Text Solution

    |

  3. If the third derivative of (x^(4))/((x-1)(x-2)) is (-12k)/((x-2)^(4))+...

    Text Solution

    |

  4. (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

    Text Solution

    |

  5. If R=([1+((dy)/(dx))^2]^(-3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be ...

    Text Solution

    |

  6. x= 2 cos t -cos 2t ,y=2 sin t-sin 2t

    Text Solution

    |

  7. If y^3-y=2x ,t h e n(x^2-1/(27))(d^2y)/(dx^2)+x(dy)/d= y b. y/3 c. y/...

    Text Solution

    |

  8. Let f(x)=(g(x))/x w h e nx!=0 and f(0)=0. If g(0)=g^(prime)(0)=0a n d...

    Text Solution

    |

  9. Let f:(-oo,oo)vec[0,oo) be a continuous function such that f(x+y)=f(x)...

    Text Solution

    |

  10. Let f:R to R be a function satisfying f(x+y)=f(x)=lambdaxy+3x^(2)y^(2)...

    Text Solution

    |

  11. A functionf: Rvec[1,oo) satisfies the equation f(x y)=f(x)f(y)-f(x)-f(...

    Text Solution

    |

  12. Let (f(x+y)-f(x))/2=(f(y)-a)/2+x y for all real xa n dydot If f(x) is ...

    Text Solution

    |

  13. Letf(3)=4 and f'(3)=5. Then lim(xrarr3) [f(x)] (where [.] denotes the ...

    Text Solution

    |

  14. Let f(x) be a function which is differentiable any number of times and...

    Text Solution

    |

  15. If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c...

    Text Solution

    |

  16. Suppose |(f'(x),f(x)),(f''(x),f'(x))|=0 where f(x) is continuously dif...

    Text Solution

    |

  17. A nonzero polynomial with real coefficient has the property that f(x)=...

    Text Solution

    |

  18. If 'f' is an increasing function from RvecR such that f^(x)>0a n df^(-...

    Text Solution

    |

  19. Vertices of a variable acute angled triangle ABC lies on a fixed circl...

    Text Solution

    |

  20. In a question a student was given to find the derivative of the pro...

    Text Solution

    |