Home
Class 12
MATHS
If e^(y)(x+1)=1, show that (d^(2)y)/(dx^...

If `e^(y)(x+1)=1`, show that `(d^(2)y)/(dx^(2)) = ((dy)/(dx))^(2)`.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.8|8 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.6|11 Videos
  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

If (a+bx)e^((y)/(x))=x , show that, x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2) .

If e^y(x+1)=1 , prove that (d^2y)/(dx^2)=((dy)/(dx))^2

If y=e^(7x) +e^(-7x) , show that (d^(2)y)/(dx^(2))= 49y .

If y= Ae^(mx) +Be^(nx) , show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0 .

If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .

If y=e^((y)/(x)) show that, (dy)/(dx)=(y^(2))/(x(y-x)) .

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx) =0 .

If y= 3e^(2x)+2e^(3x) , prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0 .

If y=x^(3) then the value of ((d^(2)y)/(dx^(2)))/([1+((dy)/(dx))^(2)]^((3)/(2))) at the point (1, 1) is -

NCERT BANGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.7
  1. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  2. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  3. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  4. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  5. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  6. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  7. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  8. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  9. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

  10. Find the second order derivatives of the functions given in Exercises ...

    Text Solution

    |

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

    Text Solution

    |

  12. If y= cos^(-1) x, Find (d^(2)y)/(dx^(2)) in terms of y alone.

    Text Solution

    |

  13. If y= 3 cos (log x)+4 sin(log x), show that x^(2)y(2)+xy(1)+y=0.

    Text Solution

    |

  14. If y= Ae^(mx) +Be^(nx), show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny...

    Text Solution

    |

  15. If y=e^(7x) +e^(-7x), show that (d^(2)y)/(dx^(2))= 49y.

    Text Solution

    |

  16. If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2)) = ((dy)/(dx))^(2).

    Text Solution

    |

  17. If y= (tan^(-1)x)^(2), show that (x^(2)+1)^(2) y(2)+2x(x^(2)+1)y(1)=2.

    Text Solution

    |