Home
Class 12
MATHS
Find the domain of the function f(x) = s...

Find the domain of the function `f(x) = sin^-1 sqrt(x-1)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

  • DIFFERENTIAL EQUATION

    RD SHARMA ENGLISH|Exercise All Questions|646 Videos

Similar Questions

Explore conceptually related problems

Find the domain of function: f(x)=sin^(-1)sqrt(x^2-1)

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the domain of the function f(x)=sin^(-1)(2x-3) .

Find the domain of the function: f(x)=(sin^(-1)x)/x

Find the domain of the function f(x)=sin^(-1)(2x-3)

Find the domain of the function: f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2))

Find the domain of the function f(x) = sqrt( 4 - x) + (1)/( sqrt( x^(2) - 1))

Find the domain and range of the function f(x) = sin^(-1)((1+e^(x))^(-1)) .

Find the domain of the functions f(x) = (1)/(sqrt( 4x^(2)-1)) +log _e (x(x^(2) -1))

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. For the principal values, evaluate the following : sin^-1(-sqrt(3)/2)+...

    Text Solution

    |

  2. If A is a square matrix such that |A| = 2, write the value of | AA^T|

    Text Solution

    |

  3. Find the domain of the function f(x) = sin^-1 sqrt(x-1)

    Text Solution

    |

  4. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

    Text Solution

    |

  5. If f(x) = (x^l/x^m)^(l+m) (x^m/x^n)^(m+n) (x^n/x^l)^(n+l), then find f...

    Text Solution

    |

  6. Show that f(x)=|x| is not differentiable at x=0.

    Text Solution

    |

  7. Evaluate : tan(cos^-1(-7/25))

    Text Solution

    |

  8. For what choice of a and b is the function f(x)={x^2,xlt=c and a x+...

    Text Solution

    |

  9. Discuss the differentiability of f(x)=x|x| at x=0

    Text Solution

    |

  10. Show that the function f(x)={ x^2sin(1/x) , when x !=0 and 0 when x=0 ...

    Text Solution

    |

  11. If f(2)=2a n df^(prime)(2)=1, then find (lim)(xvec2)(xf(2)-2f(x))/(x-2...

    Text Solution

    |

  12. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

    Text Solution

    |

  13. Show that f(x)=|x| is not differentiable at x=0 .

    Text Solution

    |

  14. Show that the function f(x)={x-1\ \ \ ,\ \ \ if\ x<2 \ \ \ \ \ \ \ ...

    Text Solution

    |

  15. Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is dif...

    Text Solution

    |

  16. Show that f(x)=x^2 is differentiable at x=1 and find f^(prime)(1) .

    Text Solution

    |

  17. Show that the function f(x)=|x-1| for all x in R , is not differentia...

    Text Solution

    |

  18. Discuss the differentiability of f(x)=x|x| at x=0 .

    Text Solution

    |

  19. Show that the function f(x)={x \ sin \ 1/x\ \ \ ,\ \ \ \ w h e n\ x!=0...

    Text Solution

    |

  20. Discuss the differentiability of f(x)={x e-(1/(|x|)+1/x),x!=0x ,x=0a ...

    Text Solution

    |