Home
Class 11
MATHS
If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))...

If `y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))`then `(dy)/(dx)=`

A

`(3a)/(a^2+x^2)`

B

`(1)/(a^2+x^2)`

C

`(-3a^2)/(a^2+x^2)`

D

`(-3a)/(a^2+x^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If y = "Tan^(-1) (((3-x)sqrt(x))/(1 - 3x)) then (dy)/(dx) =

If tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))=k tan^(-1)(x/a) then k=

If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(2) + 4x^(4))) then (dy)/(dx) =

Find (dy)/(dx) in the following : y = tan^(-1)((3x-x^(3))/(1-3x^(2))), -(1)/(sqrt(3)) lt x lt (1)/(sqrt(3)) .

If x=(3at)/(1+t^2),y=(3at^2)/(1+t^2) then (dy)/(dx) =

If f^(1)(x)=sin(logx)andy=f((2x+3)/(3-2x)) then (dy)/(dx) is

If y = tan ^(-1) ((2x )/( 1 -x ^(2))) + tan ^(-1) ((3x - x ^(3))/( 1 - 3x ^(2)))- tan ^(-1) ((4x - 4x ^(3))/( 1 - 6x + x ^(4))), then show that (dy)/(dx) = (1)/(1 + x ^(2)).

If y= f((2x+3)/(3-2x)) and f(x) = sin (logx) then (dy)/(dx)=

If y = 1 +x +(x^2)/(2!)+x^3/(3!)+....+ x^n(n!) then (dy)/(dx) is equal to

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. (d)/(dx) {Sin ^(-1) ((3x)/(2) - (x ^(3))/(2))}=

    Text Solution

    |

  2. d/(dx){cos^(-1)((4x^3)/27-x)}=

    Text Solution

    |

  3. If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))then (dy)/(dx)=

    Text Solution

    |

  4. d/(dx)(Tan^(-1)""(x)/(sqrt(a^2-x^2))=

    Text Solution

    |

  5. d/(dx)(Tan^(-1)(sinhx))=

    Text Solution

    |

  6. If y= Tan^(-1)""(sqrt(1+x^2) -1)/x then (dy)/(dx)=

    Text Solution

    |

  7. If y = cos ^(-1) (cosx) , then (dy)/(dx) at x = (5pi)/4 is

    Text Solution

    |

  8. The first derivative of the fuctioncos^(-1)(sinsqrt(1+x)/2)+x^x with ...

    Text Solution

    |

  9. d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

    Text Solution

    |

  10. d/(dx){sec^(-1)""(1)/(sqrt(1-x^2))+cot^(-1)""(sqrt(1-x^2))/x} =

    Text Solution

    |

  11. d/(dx)[cos^(-1)(xsqrtx-sqrt((1-x)(1-x^2)))] =

    Text Solution

    |

  12. If x is measured in degree , then d/(dx) (cosx) is equal to

    Text Solution

    |

  13. If y = sqrt((secx-1)/(sec x +1) ) then (dy)/(dx)=

    Text Solution

    |

  14. If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=

    Text Solution

    |

  15. If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

    Text Solution

    |

  16. If f^(1)(x)=sin(logx)andy=f((2x+3)/(3-2x)) then (dy)/(dx) is

    Text Solution

    |

  17. The value of 3 f(x ) - 2 f(1/x)=x then f^(1)(2) =

    Text Solution

    |

  18. If u = f(x^2) , v = g(x^3), f^(1)(x) = sinx , g^(1)(x) = cos x then fi...

    Text Solution

    |

  19. If sqrt(u/v)+sqrt(v/u)=6 , then (du)/(dv) =

    Text Solution

    |

  20. If x = theta -(1)/(theta) , y = theta + (1)/(theta) then (dy)/(dx) =

    Text Solution

    |