Home
Class 11
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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

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 1/(2y-1) (b) x/(x+2y) 1/(sqrt(1+4x) (d) y/(2x+y)

if y=sqrt(x) + 1/sqrt(x) , then (dy)/(dx) at x=1 is equal to

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

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(x+sqrt(x+sqrt(x......... oo ))) then dy/dx

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)

sqrt(x+y)+sqrt(y-x)=c , then (d^2y)/(dx^2) equals

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) ,then (dy)/(dx) is equal to (a) (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c) (a y)/(xsqrt(a^2-x^2)) (d) none of these

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

    Text Solution

    |

  2. If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot

    Text Solution

    |

  3. Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-1)...

    Text Solution

    |

  4. If y=sqrt(sinx+y), then find (dy)/(dx)

    Text Solution

    |

  5. f(x)=|x^2-3|x|+2|dot Then which of the following is/are true f^(prime)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If x^y=e^(x-y), Prove that (dy)/(dx)=(logx)/((1+logx)^2)

    Text Solution

    |

  9. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)xdot Then (a)f^(prime)(10...

    Text Solution

    |

  10. If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a t (y = 1).

    Text Solution

    |

  11. If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value...

    Text Solution

    |

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

    Text Solution

    |

  13. Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e...

    Text Solution

    |

  14. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)...

    Text Solution

    |

  15. If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a)y/x(1n x^(x-...

    Text Solution

    |

  16. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(c...

    Text Solution

    |

  17. The n t h derivative of x e^x vanishes when (a)x=0 (b) x=-1 (c)...

    Text Solution

    |

  18. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

    Text Solution

    |

  19. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

    Text Solution

    |

  20. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |