Home
Class 12
MATHS
If x=t^2, y = t^3, then (d^2y)/(dx^2) is...

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

A

`3/2`

B

`3/(4t)`

C

`3/(2t)`

D

`(3t)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

If x = log t^2 , y = log t^3 , then (dy)/(dx) is

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

If x^2 + y^2 = a^2 , prove that (d^2y)/(dx^2) = -a^2/y^3

If x = g(t) and y = f(t) , find (d^2y)/(dx^2) as a function of t.

If y=at^2+2bt-c and t = ax^2+2bx+c , then (d^3y)/(dx^3) equals

If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .

If x=ct, y = c/t , find dy/dx at t = 2

If x = a { cos t + log|tan t/2|} and y = a sin t, 0 < t < pi/2 , find (d^2y)/(dx^2)

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Let f(x)=|sinx|. Then

    Text Solution

    |

  2. The set of points where the function f given by f(x)=|2x-1|sinx is dif...

    Text Solution

    |

  3. Lt f(x) = |cos x|, then

    Text Solution

    |

  4. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

    Text Solution

    |

  5. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)x is

    Text Solution

    |

  6. If y=log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  7. d/(dx) {log(x + sqrtx^2+1)} is

    Text Solution

    |

  8. If y = (e^x - e^-x)/(e^x + e^-x), then dy/dx=

    Text Solution

    |

  9. If y = sqrt(sin x + y) , then (dy)/(dx) is equal to

    Text Solution

    |

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

    Text Solution

    |

  11. If y = ae^(mx) + be^-(mx), then (d^2y)/(dx^2) =

    Text Solution

    |

  12. Lagranges's mean value theorem is not applicable to f(x) in [1,4] wher...

    Text Solution

    |

  13. The value of c in Rolle's Theorem for the function f(x) = e^x sin x , ...

    Text Solution

    |

  14. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

    Text Solution

    |

  15. If y = tan^-1 (2x/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when...

    Text Solution

    |

  16. If f(x) = x^2 +(x^2)/(1+x^2)+ (x^2)/((1+x^2)^2) + …. up to infty, then...

    Text Solution

    |

  17. For the function f(x) = x +1/x, x in [1,3], the value of c for mean va...

    Text Solution

    |

  18. The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...

    Text Solution

    |

  19. Let f(x) = sqrt(1-sqrt(1-x^2) then f(x) is

    Text Solution

    |

  20. Domain of differentiability of the function f(x) = |x-2| cos x is

    Text Solution

    |