Home
Class 12
MATHS
If y=(sin^(-1)x)^(2),"show that "(1-x^(2...

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

A

2

B

-1

C

-2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If y=sin^(-1)x show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=sin(mcos^(-1)x),"show that "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+m^(2)y=0

If y=sin^(-1)x, then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=sin^(-1)x , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0 .

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2) If y=sin(2sin^(-1)x), show that ((1-x^(2))d^(2y))/(dx^(2))=x(dy)/(dx)-4y

If y=sin^(-1)x, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=asin^(-1)x , then show that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0

If y=tan^(-1)x, show that (1+x^(2))(d^(2)y)/(dx^(2))+2x(dy)/(dx)=0

Q.if log y=sin^(-1)x, show that,(1-x^(2))((d^(2)y)/(dx^(2)))=x((dy)/(dx))+y

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

TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. The second order derivative of (e^x+1)/e^x is

    Text Solution

    |

  2. If y=(tan^(-1)x)^2, then (x^2+1)^2 (d^2y)/(dx^2) + 2x(x^2+1) dy/dx=

    Text Solution

    |

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

    Text Solution

    |

  4. If y=(sin^-1x)^2/2,then(1-x^2)y2-xy1=

    Text Solution

    |

  5. If sqrty=cos^-1x, then it satisfies the dIfferential equation (1-x^2)(...

    Text Solution

    |

  6. If sqrtr=ae^(thetacotalpha), where a and alpha are real numbers, then ...

    Text Solution

    |

  7. If y=2/sqrt(a^2-b^2)tan^-1[sqrt((a-b)/(a+b))tan(x/2)] then (d2y)/(dx^2...

    Text Solution

    |

  8. If u = x^(2) + y^(2) " and " x = s + 3t, y = 2s - t , " then " (d^(2...

    Text Solution

    |

  9. If x=at^2,y=2at, then (d^2x)/(dy^2)=

    Text Solution

    |

  10. If x=f(t) and yy=g(t) are differentiable functions of t then (d^...

    Text Solution

    |

  11. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  12. If x^2y^3=(x+y)^5, then (d^2y)/(dx^2) is

    Text Solution

    |

  13. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

    Text Solution

    |

  14. If x=costheta, y=sin5theta then (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=

    Text Solution

    |

  15. If y=e^sqrtx+e^(-sqrtx), then (x(d^2y)/(dx^2)+1/2.(dy)/(dx)) is equal ...

    Text Solution

    |

  16. If x=2at^3,y=at^4, then (d^2y)/(dx^2) at t=2 is

    Text Solution

    |

  17. If x=acostheta,y=bsintheta , then (d^2y)/(dx^2) when theta=pi/4 is gi...

    Text Solution

    |

  18. If y = x^(3)log ( log (1+x) ) ,theny''(0) =

    Text Solution

    |

  19. If x=e^t sin t , y=e^t cos t, t is a parameter , then (d^2y)/(dx^2) at...

    Text Solution

    |

  20. If x=3 cos t and y=4 sin t, then (d^2y)/(dx^2) at the point (x0,y0)=(3...

    Text Solution

    |