Home
Class 12
MATHS
let y=t^(10)+1, and x=t^8+1, then (d^2y)...

let `y=t^(10)+1,` and `x=t^8+1,` then `(d^2y)/(dx^2)` is

A

` (5t)/( 2)`

B

` (5)/( 16t)^(6)`

C

` 20t^(8)`

D

` 8t^(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

let y=t^(10)+1, and x=t^(8)+1, then (d^(2)y)/(dx^(2)) is

"Let "y=t^(10)+1 and x=t^(8)+1." Then "(d^(2)y)/(dx^(2)) is

If x=t^(2) and y=t^(3)+1 , then (d^(2)y)/(dx^(2)) is

If x=t^(3)+t+5 and y=sin t then (d^(2)y)/(dx^(2))

If x=log t , t gt 0 and y=1/t , then (d^(2)y)/(dx^(2)) , is

If y=t^(2)-t+1," then: "(dy)/(dx)=

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x=at^2, y=2at then (d^2y)/dx^2 is equal to

    Text Solution

    |

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

    Text Solution

    |

  3. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  4. If x= a sec theta ,y =a tan theta ,then " at " theta = (pi)/(4) ,(d^(...

    Text Solution

    |

  5. If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = ...

    Text Solution

    |

  6. If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...

    Text Solution

    |

  7. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

    Text Solution

    |

  8. If x=a sin theta ,y =bcos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  9. If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...

    Text Solution

    |

  10. If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) ...

    Text Solution

    |

  11. If x =theta -sin theta ,y=1-cos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  12. if x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) then (d^...

    Text Solution

    |

  13. If x= sin sqrtt,y =e^(sqrt( t) ),then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  14. If x=sqrt(a^sin^((-1)t)), y=sqrt(a^cos^((-1)t)), show that (dy)/(dx)=-...

    Text Solution

    |

  15. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

    Text Solution

    |

  16. If x=log theta ,theta gt 0and y= (1)/( theta ),then (d^(2) y)/(dx^(2)...

    Text Solution

    |

  17. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) i...

    Text Solution

    |

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

    Text Solution

    |

  19. (d^2x)/(d y^2) equals

    Text Solution

    |

  20. (d^2x)/(d y^2) equals

    Text Solution

    |