Home
Class 12
MATHS
If x=t^2y=t^3,t h e n(d^(2y))/(dx^2)= 3...

If `x=t^2y=t^3,t h e n(d^(2y))/(dx^2)=` `3/2` (b) `3/((4t))` (c) `3/(2(t))` (d) `(3t)/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

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If x=t^(2),y=t^(3), then (d^(2)y)/(dx^(2))=(a)(3)/(2)(b)(3)/((4t)) (c) (3)/(2(t)) (d) (3t)/(2)

If x=t^(2),quad y=t^(3), then (d^(2)y)/(dx^(2))=3/2(b)3/4t(c)3/2t(d)3t/2

If x=tlogt,y=t^(t)," then "(d^2y)/(dx^(2))=

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

If x=t^(2) and y=t^(3), find (d^(2)y)/(dx^(2))

If x=t^(2),y=t^(3) what is (d^(2)y)/(dx^(2)) equal to ?

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

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

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

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

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
  1. If x=t^2y=t^3,t h e n(d^(2y))/(dx^2)= 3/2 (b) 3/((4t)) (c) 3/(2(t)) (...

    Text Solution

    |

  2. If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

    Text Solution

    |

  3. If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

    Text Solution

    |

  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

    Text Solution

    |

  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

    Text Solution

    |

  6. If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=

    Text Solution

    |

  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

    Text Solution

    |

  9. If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is

    Text Solution

    |

  10. If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

    Text Solution

    |

  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

    Text Solution

    |

  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

    Text Solution

    |

  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

    Text Solution

    |

  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

    Text Solution

    |

  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

    Text Solution

    |

  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

    Text Solution

    |

  17. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  18. If x^(2)=1+cosy," then: "(dy)/(dx)=

    Text Solution

    |

  19. Defferential coefficient of x^(x)w.r.t.x*logx is

    Text Solution

    |

  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

    Text Solution

    |

  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

    Text Solution

    |