Home
Class 12
MATHS
If y=at^2 and x=2at then find (d^2y)/dx^...

If `y=at^2` and `x=2at` then find `(d^2y)/dx^2` at `x=1/2`.

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 7

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • TEST PAPER 9

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

If x=at^(2),y=2at then find (dy)/(dx) at t=(1)/(2)

If y=acost,x=asint , then find (d^(2)y)/(dx^(2)) at t=pi/3 .

If y=e^(x)sin 5x , the find (d^(2)y)/(dx^(2)) .

If y^2cot x = x^2 coty then find (dy)/(dx)

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

If x^7y^3=(x+y)^10 , then find (d^2y)/(dx^2)

Find dy/dx if y^2 = x^y

If x=a(cost+tsint) and y=a(sint-tcost) , then find (d^(2)y)/(dx^(2)) at t=(pi)/(4) .

If y=at^2 , x= 2at where a is a constant what is the value of (d^2y)/(dx^2) at x=1/2 ?

If x=4z^(2)+5 and y=6z^(2)+7z+3 , then find (d^(2)y)/(dx^(2))

MODERN PUBLICATION-TEST PAPER 8-EXERCISE
  1. Constuct a 2 x 3 matrix having elements given bya(ij) = ij.

    Text Solution

    |

  2. If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find th...

    Text Solution

    |

  3. If y=at^2 and x=2at then find (d^2y)/dx^2 at x=1/2.

    Text Solution

    |

  4. In what interval f(x)=log(5) x is decreasing (if any) ?

    Text Solution

    |

  5. Write the value of int(-1)^1 (sin^5 x + 5)dx .

    Text Solution

    |

  6. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1+...

    Text Solution

    |

  7. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

    Text Solution

    |

  8. Write the equation of the plane passing through (1,2,3) and parllel to...

    Text Solution

    |

  9. Let A = {1, 2, 3). Then, show that the number of relations containing ...

    Text Solution

    |

  10. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  11. Let * be the binary operation on N given by a*b = LCM of a and b. Fin...

    Text Solution

    |

  12. Show that f:R to R defined as f(x)= 4x+3 is invertible. Find the inver...

    Text Solution

    |

  13. Express A=[[x,a,b],[a,y,c],[b,c,z]] as the sum of a symmetric and a sk...

    Text Solution

    |

  14. Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...

    Text Solution

    |

  15. Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.

    Text Solution

    |

  16. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  17. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

    Text Solution

    |

  18. Examine the contiunity of the the following functions at indicated poi...

    Text Solution

    |

  19. Differentiate : (sec x+ tan x)^cot x.

    Text Solution

    |

  20. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

    Text Solution

    |