Home
Class 12
MATHS
If y=sqrt(logx+sqrt(logx+sqrt(logx+oo)))...

If `y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s` `x/(2y-1)` (b) `x/(2y+1)` `1/(x(2y-1))` (d) `1/(x(1-2y))`

A

`x/(2x-1)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5p|20 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5.1|34 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5n|10 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a) x/(2y-1) (b) x/(2y+1) (c) 1/(x(2y-1)) (d) 1/(x(1-2y))

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

If y=sqrt(x+sqrt(x+sqrt(x+\ dotto\ oo))) , prove that (dy)/(dx)=1/(2\ y-1)

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

If y=sqrt(logx+sqrt(logx+sqrt(logx+\ dotto\ oo))) , prove that (2y-1)(dy)/(dx)=1/x .

If x=sqrt(1-y^2) , then (dy)/(dx)=

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)

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to 1/(2y-1) (b) x/(x+2y) 1/(sqrt(1+4x) (d) y/(2x+y)

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)=(y^2-x)/(2y^3-2x y-1)

If y=(sqrt(x))^sqrt(x)^sqrt(x)^(dot)^(((oo))),s howt h a t(dy)/(dx)=(y^2)/(x(2-ylogx)

NAGEEN PRAKASHAN ENGLISH-Continuity and Differentiability-Exercies 5o
  1. Discuss the continuity of the function f(x)={((|x|)/x", " xne 0)...

    Text Solution

    |

  2. Prove that the function defined by f(x) = t a n xis a continuous func...

    Text Solution

    |

  3. The function f(x)= {(2 ax ", " x le 3 ),( 3x +1 ", " x gt 3):}...

    Text Solution

    |

  4. The function f(x)={sinx/x +cosx , x!=0 and f(x) =k at x=0 is continuo...

    Text Solution

    |

  5. The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 l...

    Text Solution

    |

  6. Show that the function f(x)=2x-|x| is continuous at x=0 .

    Text Solution

    |

  7. The value of 'k' for which f(x)= {(kx^2", " x ge 2 ),(12", ...

    Text Solution

    |

  8. The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(...

    Text Solution

    |

  9. If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=...

    Text Solution

    |

  10. The value of 'a' for which f(x)= {((sin^2 ax)/(x^2)", " x ne 0 ),(...

    Text Solution

    |

  11. If y= sin ^-1\ (1)/(sqrt(1+x^2)) then dy/dx at x =0 is :

    Text Solution

    |

  12. If y=(x)/(x+5), then prove that x (dy)/(dx) = y(1 - y)

    Text Solution

    |

  13. If x^y=e^(x-y) , then (dy)/(dx) is (1+x)/(1+logx) (b) (1-logx)/(1+logx...

    Text Solution

    |

  14. If y= tan ^-1 ((x)/sqrt(a^2-x^2)) then dy/dx =?

    Text Solution

    |

  15. If y= tan^-1((1-x)/(1+x))+cot^-1((1-x)/(1+x)) then dy/dx= ?

    Text Solution

    |

  16. If y=sin^(-1)((1-x^2)/(1+x^2)) , then (dy)/(dx)= -2/(1+x^2) (b) 2/(1+...

    Text Solution

    |

  17. If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s x/(2y-1)...

    Text Solution

    |

  18. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2...

    Text Solution

    |

  19. If f(x)= x^2+7x+10 then f'(2) =?

    Text Solution

    |

  20. At which point the slope to tangent is zero for the curvey y=x^2-6x+8 ...

    Text Solution

    |