Home
Class 11
MATHS
lf y=sqrt((1-x)/(1+x)) find dy/dxand pro...

lf `y=sqrt((1-x)/(1+x))` find `dy/dx`and prove that `(1-x^2)(dy)/(dx)+y=0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt((1-x)/(1+x)) , prove that , (1-x^(2)) (dy)/(dx)+y=0

If y=sin^(-1) x, prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0

If y=(1-x)tan(x/2) , then find dy/dx

If y=sqrt((1-x)/(1+x)) ,prove that (1-x^2)dy/dx+y=0

If y=((1+x)/(1-x))^(n) , prove that (1-x^(2))(d^(2)y)/(dx^(2))=2(n+x)(dy)/(dx).

If y = (x)/(x + 4) prove that x(dy)/(dx)+y (y-1) = 0

If y=1/(1 + 1/x) , then find dy/dx

If y="("x+sqrt(x^(2)-1)")"^(m) , then prove that, (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+m^(2)y=0

If y=(1)/(2 sin x-1) , then find dy/dx

If ye^y=x prove that (dy)/(dx)= y/(x(1+y))

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Differentiate y=(e^x)/(1+sinx)

    Text Solution

    |

  2. Suppose that f(0)=0a n df^(prime)(0)=2, and let g(x)=f(-x+f(f(x)))dot ...

    Text Solution

    |

  3. lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0

    Text Solution

    |

  4. If g(x)=(f(x))/((x-a)(x-b)(x-c)),where f(x) is a polynomial of degree ...

    Text Solution

    |

  5. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

    Text Solution

    |

  6. f(x)=e^(-1/x),w h e r ex >0, Let for each positive integer n ,Pn be th...

    Text Solution

    |

  7. If ai, bi in N for i 1,2,3, then coefficient of x in the determinant;|...

    Text Solution

    |

  8. If d/(dx)[(x^m-A1x^(m-1)+A2x^(m-2)-.......+(-1)^m Am)e^x]=x^m e^x , f...

    Text Solution

    |

  9. If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

    Text Solution

    |

  10. Let f(x)a n dg(x) be two function having finite nonzero third-order de...

    Text Solution

    |

  11. Differentiate log sinx w.r.t. sqrt(cosx).

    Text Solution

    |

  12. If cosx/2dotcosx/(2^2)dotcosx/(2^3)...oo=(sinx)/x , then find the valu...

    Text Solution

    |

  13. Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x

    Text Solution

    |

  14. If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...

    Text Solution

    |

  15. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

    Text Solution

    |

  16. If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...

    Text Solution

    |

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

    Text Solution

    |

  18. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

    Text Solution

    |

  19. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

    Text Solution

    |

  20. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

    Text Solution

    |