Home
Class 12
MATHS
If y = x + (1)/(x + (1)/( x +...oo)) the...

If `y = x + (1)/(x + (1)/( x +...oo))` then `(dy)/(dx)` =`

A

`(y)/( 2 y -x)`

B

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

C

` (y)/(x -2y)`

D

y

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D|92 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|112 Videos
  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

If y = x ^(2) + (1)/(x ^(2) + (1)/( x ^(2) +...oo)), then (dy)/(dx) =

If y = e ^(x + e ^(x + e^(x ...oo))), then (dy)/(dx)=

If y = a ^(x ^(a^(x ^(a ^(x ...oo))))) then (dy)/(dx) =

If y = "Cos"^(-1) ((x - x^-1)/(x + x^-1)) then (dy)/(dx) =

If y = sqrt(x + sqrt(x + sqrt(x + .....oo))) then (dy)/(dx) =

If y = x^2 + 1/(x^2 + 1/(x^2 + 1/(x^2 +....oo))) , then (dy)/(dx) is

If y = (sin x) ^((sin x) ^((sin x) ^(...oo))), then (dy)/(dx)=

If x -y = Sin ^(-1) x - Sin ^(-1) y then (dy)/(dx) =

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1B
  1. If (cos x ) ^(y) = (sin y) ^(x) then (dy)/(dx)=

    Text Solution

    |

  2. If y = sqrt(x + sqrt(x + sqrt(x + .....oo)))then (dy)/(dx) =

    Text Solution

    |

  3. If y = sqrt(tan x + sqrt(tan x + sqrt(tan + ....oo))) then (dy)/(dx)=

    Text Solution

    |

  4. If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ....oo))) then (dy)/(dx)

    Text Solution

    |

  5. If y = x ^(x ^(x.......prop)) then (dy)/(dx)=

    Text Solution

    |

  6. If y = (sin x) ^((sin x) ^((sin x) ^(...oo))), then (dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |

  8. If x = e ^(y+ e ^(y +...10oo)), x gt 0, then (dy)/(dx) is

    Text Solution

    |

  9. If y = x + (1)/(x + (1)/( x +...oo)) then (dy)/(dx) =

    Text Solution

    |

  10. If y = sqrtx ^(sqrtx^(sqrtx^(...oo))), then (dy)/(dx) =

    Text Solution

    |

  11. If y = a ^(x ^(a^(x ^(a ^(x ...oo))))) then (dy)/(dx)=

    Text Solution

    |

  12. If y = x ^(2) + (1)/(x ^(2) + (1)/( x ^(2) +...oo)), then (dy)/(dx) =

    Text Solution

    |

  13. If x lt 1, then 1/(x + 1) + (2x)/(1 +x^2) + (4x^3)/(1 + x^4) + ….oo =

    Text Solution

    |

  14. If lt 1 then (1-2x)/(1 - x x ^(2)) + ( 2x - 4x ^(3))/(1 - x ^(2) + x ...

    Text Solution

    |

  15. If f (x ) =x ^(2) + (x ^(2))/((1 + x ^(2))) + (x ^(2))/( (1 + x ^(2)))...

    Text Solution

    |

  16. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

    Text Solution

    |

  17. If y = { sin "" (x)/(2) sin "" (x ^(2))/(2 ^(2)) . sin "" (x ^(3))/(2 ...

    Text Solution

    |

  18. If cos ""x/2cos "" (x )/(2 ^(2)) ….cos "" (x)/(2 ^(n)) = (sin x)/( 2 ^...

    Text Solution

    |

  19. If sintheta sin(2alpha+theta)sin(4alpha + theta)...sin(2(n-1)alpha+the...

    Text Solution

    |

  20. If Y = "tan"^(-1)((1)/(1 + x + x^2)) + "tan"^(-1) (1/(x^2 + 3x + 3)) +...

    Text Solution

    |