Home
Class 12
MATHS
Tan^(-1)((3x-x^(3))/(1-3x^(2)))=...

`Tan^(-1)((3x-x^(3))/(1-3x^(2)))=`

A

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

B

` (-1)/(2 sqrt(1 -x ^(2)))`

C

`(3)/(1+ x ^(2))`

D

`(1)/(2 sqrt(1- x ^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

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

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|92 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|112 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 y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2)) then (dy)/(dx)=

Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))) .

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

Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan^(-1)((2x)/(1-x^(2))) = (pi)/3

int_(1//sqrt3)^(1)(Tan^(-1)x)^(3)/(1+x^(2))dx=

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1B
  1. (d)/(dx) {Tan ^(-1) ((x-a)/(1 + ax ))}=

    Text Solution

    |

  2. (d)/(dx) {Tan ^(-1) (sqrt(1+ x ^(2))-1)/( x)}=

    Text Solution

    |

  3. Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

    Text Solution

    |

  4. (d)/(dx) {Tan ^(-1) ""(sqrt(1-x))/(1+ x) }=

    Text Solution

    |

  5. (d)/(dx) {Tan ^(-1) "" sqrt([(x)/(1-x)])}=

    Text Solution

    |

  6. (d)/(dx) {Tan ^(-1)((x)/(1 + sqrt (1- x ^(2))))}=

    Text Solution

    |

  7. (d)/(dx) {Tan ^(-1)( (x)/(1 - sqrt(1 + x ^(2))))}=

    Text Solution

    |

  8. (d)/(dx) {Tan ^(-1) (( x-x^(1//2 ))/(1 + x ^(3//2)))}=

    Text Solution

    |

  9. (d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^...

    Text Solution

    |

  10. The derivative of Tan ^(-1) "" (2x)/(1 - x ^(2)) w.r.t Cos ^(-1)"" (1-...

    Text Solution

    |

  11. The derivative of Arc tan "" (2x )/( 1- x ^(2)) w.r.t. Arc sin "" (2x)...

    Text Solution

    |

  12. The derivative of Tan ^(-1) "" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-...

    Text Solution

    |

  13. The derivative of Cos ^(-1) "" (1- x ^(2))/( 1 + x ^(2)) w.r.t. Tan ^(...

    Text Solution

    |

  14. The derivative of Sin ^(-1) "" ( 2x )/( 1 + x ^(2)) w.r.t Tan ^(-1) ...

    Text Solution

    |

  15. The derivative of Cos ^(-1) (2x ^(2) -1) w.r.t. Cos ^(-1) x is

    Text Solution

    |

  16. The derivative of Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) a...

    Text Solution

    |

  17. The derivative of Tan ^(-1)"" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-1...

    Text Solution

    |

  18. The derivative of Sin ^(-1) (3x -4x^(3)) w.r.t. Tan ^(-1)"" (x )/( sqr...

    Text Solution

    |

  19. If y = sqrt(sin x + y ) then (dy)/(dx) =

    Text Solution

    |

  20. If y = sqrt( cos x + y) thnd (dy)/(dx) =

    Text Solution

    |