Home
Class 12
MATHS
"Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-...

`"Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1-1))x." Then"`

A

`f'(10)=1`

B

`f'(3//2)=-1`

C

domain of `f(x)` is `xle1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|7 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

let f(x)=sqrt(1+x^2) then

The expression (1)/(sqrt(x+2sqrt(x-1)))+(1)/(sqrt(x-2sqrt(x-1))) simplifies to:

If f(x) = sqrt(x+2sqrt(x+1)) + sqrt(x-2sqrt(x-1)), x ge 1 . Statement-1 : Then, f(x) = 2 , when x in [1, 2] and Statement-2 : sqrt((f(x))^(2)) = {{:(f(x)",", f(x) ge 0),(-f(x)",", f(x) lt 0):}

If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for xgt2 then find f(11).

Differentiate w.r.t 'x' f(x) = (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1))

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Let f(x)=(1)/(x) and g(x)=(1)/(sqrt(x)) . Then,

Let f(x)=(1)/(x) and g(x)=(1)/(sqrt(x)) . Then,

ARIHANT MATHS ENGLISH-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. The function u=e^x sin x ; v=e^x cos x satisfy the equation a.v(d u...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1) = 1, then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. "Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1-1))x." Then"

    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

    |