Home
Class 12
MATHS
If x^2/a^2 + y^2/b^2 = 1, prove that (d^...

If `x^2/a^2 + y^2/b^2 = 1`, prove that `(d^2y)/(dx^2) = -(b^4)/(a^2y^3)~

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

If y^2 = ax^2 + b , prove that (d^2y)/(dx^2) = ab/y^3

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

If y = 2 cos x -6 sin x , prove that (d^2y)/(dx^2)+y = 0

If y = 2 sin x + 3 cos x, prove that y + (d^2y)/(dx^2) = 0

If y = tan x + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

If y = tanx + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

y = 5 cos x - 3 sin x , prove that (d^2 y)/(dx^2) + y = 0

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If x^2 + y^2 = a^2, prove that (d^2y)/(dx^2) = -a^2/y^3

    Text Solution

    |

  2. If x^m y^n = (x+y)^(m+n), prove that dy/dx = y/x and (d^2y)/(dx^2) = 0

    Text Solution

    |

  3. If x^2/a^2 + y^2/b^2 = 1, prove that (d^2y)/(dx^2) = -(b^4)/(a^2y^3)~

    Text Solution

    |

  4. If sqrtx + sqrty = sqrtx , find (d^2y)/(dx^2) at x = a

    Text Solution

    |

  5. Find (d^2y)/(dx^2) if x=at^2), y = 2 a t.

    Text Solution

    |

  6. Find (d^2y)/(dx^2) if x= cos theta, y = a sin theta)

    Text Solution

    |

  7. If x = a sin^3 theta, y = a cos^3 theta, find (d^2y)/(dx^2) at theta ...

    Text Solution

    |

  8. If x=a (cos t + t sin t) and y = a (sin t - t cos t ), find (d^2x)/(dt...

    Text Solution

    |

  9. Find (d^2y)/(dx^2) in the following If x = a (theta + sin theta) , y...

    Text Solution

    |

  10. If x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2), find (dy)/(dx) at x=2.

    Text Solution

    |

  11. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |

  12. Find the derivative of Following tan(log3x)

    Text Solution

    |

  13. Find the derivative of Sin2x+Cosec5x

    Text Solution

    |

  14. Find the derivative of cot2x-cos9x

    Text Solution

    |

  15. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |

  16. Verify the conditions of Rolle's Theorem in the followin problems. In ...

    Text Solution

    |

  17. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |

  18. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |

  19. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |

  20. Verify Rolle's theorem for the following functions in the given interv...

    Text Solution

    |