Home
Class 12
MATHS
If y= tan^(-1) sqrt(x^(2)-1) then the ra...

If `y= tan^(-1) sqrt(x^(2)-1)` then the ratio `(d^(2)y)/(dx^(2)) : (dy)/(dx)=`

A

`(x(x^(2) +1))/( 1-2x^(2))`

B

`(1+2x^(2))/(x(x^(2)+1))`

C

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

D

`(x(x^(2)-1))/(1+2x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1) sqrt((1-cos x)/(1+cosx)) , then (d^(2)y)/(dx^(2)) = =

If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy)/(dx) =2

If e^(y)(x+1)=1 . Show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2)

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

y=log_e(tan^(- 1)sqrt(1+x^2)) then dy/dx is

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

If y = log (x + sqrt(x^(2)+1) then dy/dx =

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. the derivative of e^(ax) cos bx with respect to x is re^(ax) cos...

    Text Solution

    |

  2. If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

    Text Solution

    |

  3. If y= tan^(-1) sqrt(x^(2)-1) then the ratio (d^(2)y)/(dx^(2)) : (dy)/...

    Text Solution

    |

  4. If sqrt(r ) =ae^(thetacotalpha) where a and alpha are real numbers the...

    Text Solution

    |

  5. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  6. The lengths of the sub-tangent , ordinate and the sub-normal are in

    Text Solution

    |

  7. the set of real values of x for which f(x ) = (x ) /( log x) is i...

    Text Solution

    |

  8. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  9. if int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2)) log f(x ) + c w...

    Text Solution

    |

  10. int (sin^(-1))/(sqrt(1+x)) dx=

    Text Solution

    |

  11. int (cos^(n-1))/( sin^(n+1)) dx , n ne 0 is :

    Text Solution

    |

  12. The value of the intergral underset(0)overset(pi//2)(int) (sin^(100)...

    Text Solution

    |

  13. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  14. The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the...

    Text Solution

    |

  15. If m and n are the order and degree of the different equatin : ...

    Text Solution

    |

  16. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  17. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  18. Equation of the plane perpendicular to the line (x )/(1) = (y )/...

    Text Solution

    |

  19. The line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is parallel to the plane

    Text Solution

    |

  20. A space vector makes angles 150^(@) and 60^(@) with the positive ...

    Text Solution

    |