Home
Class 12
MATHS
y=x/(a+x/(b+x/(a+x/(b+...oo)))), (dy)/(d...

`y=x/(a+x/(b+x/(a+x/(b+...oo))))`, `(dy)/(dx)=b/(a(b+2y))`

A

`(a)/(ab+2ay)`

B

`(b)/(ab+2ay)`

C

`(a)/(ab+2by)`

D

`(b)/(ab+2ay)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t.x. y = x^(x^(x^( oo))) , prove that x (dy)/(dx) = (y^2)/(1 - y log x)

Differentiate the following w.r.t.x. y = e^(x^(+ex + ex^(-"to" oo))), prove that (dy)/(dx) = y/(1 - y)

Let y=sqrt(x+sqrt(x+sqrt(x+...oo)))," then "(dy)/(dx) is equal to

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to

If y = 2/(sqrt(a^2 - b^2)) "tan"^(-1) (sqrt((a + b)/(a - b)) " tan " x/2) , prove that (dy)/(dx) = 1/(a - b cos x)

The differential equations of all circle touching the x-axis at orgin is (a) (y^(2)-x^(2))=2xy((dy)/(dx)) (b) (x^(2)-y^(2))(dy)/(dx)=2xy ( c ) (x^(2)-y^(2))=2xy((dy)/(dx)) (d) None of these

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =

    Text Solution

    |

  2. Iff(x)=|x|^(|sinx|),thenf'((pi)/(4)) equals

    Text Solution

    |

  3. y=x/(a+x/(b+x/(a+x/(b+...oo)))), (dy)/(dx)=b/(a(b+2y))

    Text Solution

    |

  4. If y=x^(x^(2)), then (dy)/(dx) equals

    Text Solution

    |

  5. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

    Text Solution

    |

  6. If x^2e^y+2xye^x+13=0 then (dy)/(dx)=

    Text Solution

    |

  7. If x=e^(y+e^(y+e^(y+...oo))),xgt0, then (dy)/(dx) is equal to

    Text Solution

    |

  8. Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(...

    Text Solution

    |

  9. If f and g are the function whose graphs are as shown, let u(x)=f(g(x)...

    Text Solution

    |

  10. f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2...

    Text Solution

    |

  11. if f(x) = x +x^2/1! + x^3/2! +----+ x^n/(n-1)! then f(0) + f'(0) + f'...

    Text Solution

    |

  12. If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

    Text Solution

    |

  13. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  14. If y=f(x)andx=g(y) are inverse functions of each other, then

    Text Solution

    |

  15. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  16. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

    Text Solution

    |

  17. If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x), the value...

    Text Solution

    |

  18. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...

    Text Solution

    |

  19. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(pi)/(4) is equal to

    Text Solution

    |

  20. If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...

    Text Solution

    |