Home
Class 12
MATHS
Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/...

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

A

`(1)/(2y-1)`

B

`(x)/(x+2y)`

C

`(1)/(sqrt(1-4x))`

D

`(y)/(2x+y)`

Text Solution

Verified by Experts

The correct Answer is:
A, 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

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

If y = sqrt(sin x + y) , then (dy)/(dx) is equal to

" If "y=sqrt(logx+sqrt(logx+sqrt(logx+...oo)))," then "(dy)/(dx) is

If y= (sqrt(x) + 1/sqrt(x))^2 .Find dy/(dx)

The value of int_(3)^(6)(sqrt(x+sqrt(12x-36))+sqrt(x-sqrt(12x- 36)))dx is equal to

int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))))dx is equal to

If y = sqrt(x+ sqrt(x + sqrt(x + ......oo))) , show that (2y - 1) (dy)/(dx) = 1

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  2. The functions u=e^(x).sinx and v=e^(x).cosx satisfy the equation

    Text Solution

    |

  3. If f(x)=log(x^(2))(logx),then f '(x)at x= e is

    Text Solution

    |

  4. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  5. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  6. "If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...

    Text Solution

    |

  7. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  8. Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find ...

    Text Solution

    |

  9. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |

  10. If y+log(1+x)=0 which of the following is true?

    Text Solution

    |

  11. If y=2^(3^(x)), then y' equals

    Text Solution

    |

  12. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

    Text Solution

    |

  13. If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1) = 1, then a. y'(1)=(4)/(3) b. y...

    Text Solution

    |

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

    Text Solution

    |

  15. Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

    Text Solution

    |

  16. Which of the following functions are not derivable at x=0?

    Text Solution

    |

  17. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  18. For the function y=f(x)=(x^(2)+bx+c)e^(x), which of the following hold...

    Text Solution

    |

  19. If sqrt(y+x)+sqrt(y-x)=c, where cne0, then (dy)/(dx) has the value equ...

    Text Solution

    |

  20. If y = tan x tan 2x tan 3x, (sin 12x != 0) then dy / dx has the value ...

    Text Solution

    |