Home
Class 12
MATHS
If x=e^(y+e^(y+e^(y+...oo))),xgt0, then...

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

A

` x/(1+ x)`

B

`1/x`

C

`(1-x)/x`

D

`x/(1-x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Section -B|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Section - C ( More than one options are correct )|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Try youself|16 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

If x=e^(y+e^(y+e^y....oo) , where x > 0,then find (dy)/(dx)

If x=e^y+e^((y+ tooo)) , where x >0,t h e n (dy)/(dx)

If x^(y)=e^(x-y) , then (dy)/(dx) is equal to

If e^(-y)*y=x, then (dy)/(dx) is

If y=e^x log x then (dy)/(dx) is

If y=e^(x) then (dy)/(dx)

If y=e^(sqrt(x))+e^(-sqrt(x))," then "(dy)/(dx) is equal to

If x=e^y+e^((y+ tooo)) , where x >0,t h e nfin d(dy)/(dx)

If y = (e^(x)+1)/(e^(x)-1), " then" (y^(2))/2 + (dy)/(dx) is equal to

If y = e^(-x) , then (dy)/(dx) is

AAKASH INSTITUTE ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If f(x) = cos x cdot cos 2x cdot cos 4x cdot cos 8x cdot cos 16x," the...

    Text Solution

    |

  2. If y=cos^(-1)(cosx),then (dy)/(dx) at x=(5pi)/4 is equal to (a)1 (b)-...

    Text Solution

    |

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

    Text Solution

    |

  4. if x^y . y^x =16 then dy/dx at (2,2) is equal to

    Text Solution

    |

  5. If y = sin x^(@) " and " u = cos x " then " (dy)/(du) is equal to

    Text Solution

    |

  6. Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 ...

    Text Solution

    |

  7. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  8. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |

  9. If t(1+x^(2))=x and x^(2)+t^(2)=y then at x = 2, the value of (dy)/(dx...

    Text Solution

    |

  10. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  11. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal t...

    Text Solution

    |

  12. Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...

    Text Solution

    |

  13. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

    Text Solution

    |

  14. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  15. If y = tan^(-1)( sqrt((x+1)/(x-1))) " for " |x| gt 1 " then " (dy)/(d...

    Text Solution

    |

  16. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |

  17. If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx) at x = 1 is

    Text Solution

    |

  18. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

    Text Solution

    |

  19. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

    Text Solution

    |

  20. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

    Text Solution

    |