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

Define derivative of `sin^(-1)((2x)/(1+x^2))` w.r.t. `cos^(-1)((1-x^2)/(1+x^2))` `AA\ x in Rdot`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Differentiate sin^(-1)((2x)/(1+x^(2))) w.r.t. cos^(-1)((1-x^(2))/(1+x^(2)))

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

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

Find the derivative of tan^(-1)(2x)/(1-x^(2))quad w.r.t sin^(-1)(2x)/(1+x^(2))

Statement I Derivative of sin^(-1)((2x)/(1+x^(2)))w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) is 1 for 0ltxlt1. sin^(-1)((2x)/(1+x^(2)))=cos^(-1)((1-x^(2))/(1+x^(2))) for -1lexle1

The derivative of sin^(-1)((x)/(sqrt(1-x^(2)))) w.r.t cos^(-1)((1-x^(2))/(1+x^(2))),(x>0) is

The derivative of sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))) is

Derivative of tan^(-1)sqrt((1-x)/(1+x))=w.r.t.cos^(-1)x is

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Find derivative of (lnx)^(tanx) w.r.t. x^x .

    Text Solution

    |

  2. Derivative of cos^(-1)(2x^2-1) w.r.t. sqrt(1-x^2) when x=1/2 .

    Text Solution

    |

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

    Text Solution

    |

  4. Differential coefficient of e^sin^((-1)x) w.r.t. e^-cos^((-1)x) is ind...

    Text Solution

    |

  5. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |

  6. If y=sin(sinx) then prove that y2+(tanx)y1+ycos^2x=0

    Text Solution

    |

  7. If y=acos(lnx)+bsin(lnx) then prove that x^2y3+3x y2+2y1=0

    Text Solution

    |

  8. If y=e^acos^((-1)x) , then prove that (1-x^2)y2-x y1-a^2y=0 .

    Text Solution

    |

  9. If (x-a)^2+(y-b)^2=c^2\ \ (c >0) then ([1+((dy)/(dx))^2]^(3//2))/((d^2...

    Text Solution

    |

  10. Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  11. If y=e^tan^((-1)x) , prove that (1+x^2)y2+(2x-1)y1=0 .

    Text Solution

    |

  12. If y=e^(asin^(-1)x) then show that (1-x^2)y(n+2)-(2n+1)xy(n+1)-(n^2+a^...

    Text Solution

    |

  13. Find (dy)/(dx), if x=acostheta , y=asintheta

    Text Solution

    |

  14. Find (dy)/(dx) , if x=a t^2 , y=2a t

    Text Solution

    |

  15. Find (dy)/(dx) , if x^(2/3) +y^(2/3)=a^(2/3)

    Text Solution

    |

  16. Find (dy)/(dx) , if x=2a t^2 , y=a t^4

    Text Solution

    |

  17. Find (dy)/(dx) , if x=(sin^3t)/(sqrt(cos2t)) , y=(cos^3t)/(sqrt(cos2t)...

    Text Solution

    |

  18. Find (dy)/(dx) , if x=acostheta , y=bcostheta

    Text Solution

    |

  19. Find (dy)/(dx) , if x=costheta-cos2theta , y=sintheta-sin2theta

    Text Solution

    |

  20. Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...

    Text Solution

    |