Home
Class 11
MATHS
If x = t ^(2), y = t ^(3) then (d ^(2) ...

If `x = t ^(2), y = t ^(3)` then ` (d ^(2) y)/(dx ^(2)) =`

A

`3/2`

B

`3/((4t)`

C

`3/((2t)`

D

`(3t)/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If y = 3 ^(x), then (d ^(2) y)/(dx ^(2)) =

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

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

If x = Sin ^(-1) t, y = sqrt(1- t ^(2)) then (d^(2) y)/(dx ^(2))=

If x = e ^(2t ) cos, 3t, then (d ^(2) x)/(dt ^(2))at t = pi //2 is

If x = phi (t), y = Psi(t) then (d^2y)/(dx^2) is

If y=e ^(-2x) sin ^(3) x , then (d^(2)y)/dx^(2) =

If x = e^(t)sint, y =e^(t)cost then (d^2y)/(dx^2) at t = pi is

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. If y = e^("sin"^2 x + "sin"^4x + "sin"^6x +...+oo), then (dy)/(dx) =

    Text Solution

    |

  2. If x+ y = 3e^2 then d/(dx)(x^y)=0 for x =

    Text Solution

    |

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

    Text Solution

    |

  4. If y= sin x +e^(x) then (d^2x)/(dy^2) =

    Text Solution

    |

  5. If sqrt(x+y)+sqrt(y-x)=c , then (d^2y)/(dx^2) =

    Text Solution

    |

  6. The nth derivative of xe^x vanishes when

    Text Solution

    |

  7. If y^2 =ax^2 + bx +c, then y^3(d^2y)/(dx^2) is

    Text Solution

    |

  8. If P(x) =ax^3+bx^2+cx+d and P(0) = 4, P^(1)(0) = 3,P^(11)(0)=4,P^(111...

    Text Solution

    |

  9. y=x+e^x , then (d^2x)/(dy^2) is equal to

    Text Solution

    |

  10. If f(x)=|(Sinx , 1, 0),(x - pi/2,Sinx,1),(0,1,Sinx)| then (df)/(dx) at...

    Text Solution

    |

  11. If x = sint , y = cos pt , then

    Text Solution

    |

  12. If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)|, then f^(1)(x)=

    Text Solution

    |

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

    Text Solution

    |

  14. If x = log p and y = 1/p then

    Text Solution

    |

  15. If y = ax^(n+1)+bx^(n+1) then x^2(d^2y)/(dx^2) is equal to

    Text Solution

    |

  16. If x = phi (t), y = Psi(t) then (d^2y)/(dx^2) is

    Text Solution

    |

  17. If x = a sec^2 theta, y = aTan^3 theta then (d^3y)/(dx^3) =

    Text Solution

    |

  18. x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...

    Text Solution

    |

  19. If x = e^(t)sint, y =e^(t)cost then (d^2y)/(dx^2) at t = pi is

    Text Solution

    |

  20. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

    Text Solution

    |