Home
Class 12
MATHS
If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-...

If `u=sin^(-1)((2x)/(1+x^2))` and `v=tan^(-1)((2x)/(1-x^2))` , where `-1

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

If u=sin^(-1)((2x)/(1+x^(2)))andv=tan^(-1)((2x)/(1-x^(2))) , then (du)/(dv) is

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Let U=sin^(-1)((2x)/(1+x^2)) and V=tan^(-1)((2x)/(1-x^2)) , then (d U)/(d V)= (a) 1//2 (b) x (c) (1-x^2)/(1+x^2) (d) 1

sin (tan ^(-1)2x)

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

If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2))) , where a, x in]0,1[ , then the value of x is

If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2))) , where a, x in]0,1[ , then the value of x is

Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)), if -1

If sin^(-1)(2x)/(1+x^2)=tan^(-1)(2x)/(1-x^2) , then find the value of xdot

Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)),

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...

    Text Solution

    |

  2. If |x|<1 and y=1+x+x^2+\ ddotto\ oo , then find the value of (dy)/(...

    Text Solution

    |

  3. If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-1)((2x)/(1-x^2)) , where -1<x<...

    Text Solution

    |

  4. If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2...

    Text Solution

    |

  5. If y=log(3x),\ \ x!=0 , find (dy)/(dx) .

    Text Solution

    |

  6. If f(x) is an even function, then write whether f^(prime)(x) is eve...

    Text Solution

    |

  7. If f(x) is an odd function, then write whether f^(prime)(x) is even...

    Text Solution

    |

  8. Write the derivative of sinx w.r.t. cosxdot

    Text Solution

    |

  9. If f(x)=(log)(x^2)(logx) , then f^(prime)(x) at x=e is (a) 0 (b) 1 (c)...

    Text Solution

    |

  10. The differential coefficient of f(logx) with respect to x , where f(...

    Text Solution

    |

  11. The derivative of the function cot^(-1){(cos2x)^(1//2)} at x=pi//6 i...

    Text Solution

    |

  12. Differential coefficient of sec(tan^(-1)x) is (a)x/(1+x^2) (b) xsqrt...

    Text Solution

    |

  13. If y= tan^(-1)sqrt((1-sinx)/(1+sinx)), then the value of (dy)/(dx) at ...

    Text Solution

    |

  14. If y=(1+1/x)^x , then (dy)/(dx)= (a)(1+1/x)^x{log(1+1/x)-1/(x+1)} (b)...

    Text Solution

    |

  15. If x^y=e^(x-y) , then (dy)/(dx) is (a)(1+x)/(1+logx) (b) (1-logx)/(1+l...

    Text Solution

    |

  16. Given f(x)=4x^8 , then (a)f'(1/2)=f'(-1/2) (b) f(1/2)=-f'(-1/2) (c) f...

    Text Solution

    |

  17. If x=a\ cos^3theta,\ \ y=a\ sin^3theta , then sqrt(1+((dy)/(dx))^2)= ...

    Text Solution

    |

  18. If y=sin^(-1)((1-x^2)/(1+x^2)) , then (dy)/(dx)= (a)-2/(1+x^2) (b) 2/...

    Text Solution

    |

  19. The derivative of sec^(-1)(1/(2x^2-1)) with respect to sqrt(1+3x) at x...

    Text Solution

    |

  20. For the curve sqrt(x)+sqrt(y)=1 , (dy)/(dx) at (1//4,\ 1//4) is (a)...

    Text Solution

    |