Home
Class 12
MATHS
The derivative of cos^(-1)((1-x^(2))/(1+...

The derivative of `cos^(-1)((1-x^(2))/(1+x^(2)))` w.r.t. `cot^(-1)((1-3x^(2))/(3x-x^(3)))` is

A

(3/2)

B

1

C

(1/2)

D

(2/3)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

The derivative of sin^(-1) ((2x)/(1+x^(2))) w.r.t sin^(-1) ((1-x^(2))/(1+x^(2))) is

The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^(2))) is

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

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

The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1/2 is

Find the derivative of (2)/(x+1)-(x^(2))/(3x-1)

Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1-x^(2)) is

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = sin^(3^(-x)) then dy/dx =

    Text Solution

    |

  2. alpha+beta are the zeroes of the polynomial x^(2)-6x+4, then the value...

    Text Solution

    |

  3. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  4. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

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

    Text Solution

    |

  6. If x^(y) = log x, then dy/dx at the point where the curve cut the x-ax...

    Text Solution

    |

  7. If y = a^(x), then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  8. If x^(2)+xy+y^(2)=0, (d^(2)y)/(dx^(2))=

    Text Solution

    |

  9. If x = at^(2), y = 2at, then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  10. If y = ax^(n+1) + bx^(-1), then x^(2) (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  11. If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos th...

    Text Solution

    |

  12. If y = tan^(-1) sqrt((1-cos x)/(1+cosx)), then(d^(2)y)/(dx^(2)) = =

    Text Solution

    |

  13. If 2x^(2)+4xy+3y^(2) = 0, then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  14. If y = 1 -x + x^(2)/(2!) - x^(3)/(3!) +x^(4)/(4!) - ………….. then (d^(2)...

    Text Solution

    |

  15. If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=

    Text Solution

    |

  16. If x Aos 4t+Bsin4t  then(d^(2)x)/(dt^(2))=

    Text Solution

    |

  17. If x = sin t, y = cos pt then...

    Text Solution

    |

  18. If y=1+(1)/(x)+(1)/(x^(2))+(1)/(x^(3))+… to oo with |x|gt 1 then (dy)/...

    Text Solution

    |

  19. If sin(x+y)+cos (x+y)=log(x+y), then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  20. If f (x) is a function such that f''(x)+f(x)=0 and g(x)=[f(x)]^(2)+[f'...

    Text Solution

    |