Home
Class 12
MATHS
If f (x) = u//v then f '' (x) =...

If `f (x) = u//v` then `f '' (x) =`

A

`(1)/(v^(3))`

B

`(1)/(v ^(3)) |{:(v ,0, u),(v _(1) , v , u _(1)),( v _(2) , 2 v _(1), u _(2)):}|`

C

`v ^(3)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-2|4 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3|5 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

If f(x) = x -[x] then f(x) at x= 2 f(x) is

If f(x)=a^x/x^a then f'(a) =

If f (x) = (x ^(2))/(a +x) then f ''(a) =

If f (x) = f ^(1) (x) + f ^(11) (x) + f ^(111) (x) +........oo then find (f ^(1) (x))/(f (x)).

If f: R to R is defined by f(x) = 2x+|x| , then f(3x) -f(-x)-4x=

A function f satisfies the condition f(x) - f'(x) +f'(x) + f''(x) + ......, where f(x) is a differentiable function indefinitely and dash denotes the order of derivative . If f(0) =1 , then f(x) is

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
  1. x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...

    Text Solution

    |

  2. If y = (lot (e) x)/(x) and z = log (e) x, then (d ^(2) y)/(dz^(2)) + ...

    Text Solution

    |

  3. If x = Sin ^(-1) t, y = sqrt(1- t ^(2)) then (d^(2) y)/(dx ^(2))=

    Text Solution

    |

  4. If y = ((1)/(x)) ^(x) then y (1) (1) =

    Text Solution

    |

  5. If f (x ) = ((1)/(x)) ^(x) then f'' ((1)/(e)) =

    Text Solution

    |

  6. (d ^(2) x)/(dy ^(2)) equals :

    Text Solution

    |

  7. If y^2 = p(x) , a polyomial of degree 3 , then 2(d)/(dx)(y^3(d^2y)/(dx...

    Text Solution

    |

  8. Let f (x) be a polynonial of degree 4 with f (2) =-1, f '(2) =0-, f ''...

    Text Solution

    |

  9. Let f be a twice differentiable functin such that f''(x) - f(x) and f'...

    Text Solution

    |

  10. If f:RrightarrowR is an even function having derivatives of all orders...

    Text Solution

    |

  11. If f : RR to R is an even function which is twice differentiable on RR...

    Text Solution

    |

  12. Let f(x) be a twice differentiable function and f^(11)(0)=2, then Lim(...

    Text Solution

    |

  13. If P (x) is a polynomial of 2nd degree and P (2) =-1, P'(2) =0 and p''...

    Text Solution

    |

  14. If P (x) is polynomial of 3rd degree and P''(1) =0, P'''(1)=6 then P '...

    Text Solution

    |

  15. If f (x) = u//v then f '' (x) =

    Text Solution

    |

  16. If f (x) = x^(n) then sum (r=0) ^(n) (f ^((r))(1))/(r 1) =

    Text Solution

    |

  17. The nth derivative of log (ax+b) is

    Text Solution

    |

  18. f (x) = sin x + cos x implies f ((pi)/(4)) f ^((iv)) ((pi)/(4)) =

    Text Solution

    |

  19. The nth derivative of cos ^(4) x is

    Text Solution

    |

  20. (d ^(20))/(dx ^(20)) [ 2 cos x cos 3x]=

    Text Solution

    |