Home
Class 12
MATHS
If y = tan^-1 x, show that : (1+x^2) d^2...

If `y = tan^-1 x`, show that : `(1+x^2) d^2y/dx^2+ 2x dy/dx=0`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XI)(SHORT ANSWER TYPE QUESTIONS) |21 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XII)(LONG ANSWER TYPE QUESTIONS) |1 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION IX)(SHORT ANSWER TYPE QUESTIONS) |11 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the second order derivative of the following functions If y = cos^(-1)x show that (1 - x^2)(d^2y)/(dx^2) - x (dy)/(dx) = 0

If y = e^(2tan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 4y .

If y = e^(3tan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 9y .

If y = e^(4xtan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 16y .

If y = e^(2tan^-1 x) , then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 4y

If y = e^(4tan^-1 x) , then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 16y

If y = e^(3tan^-1 x) , then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^2)dy/dx = 9y

IF [y= (tan^-1 x)^2 , show that [(x^2 +1)^2 d^2y/dx^2+2x (x^2 + 1)dy/dx=2]

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION X)(SHORT ANSWER TYPE QUESTIONS)
  1. Find the second order derivative of the following functions If y = c...

    Text Solution

    |

  2. Find the second order derivative of the following functions If y = P...

    Text Solution

    |

  3. Find the second order derivative of the following functions If y = a...

    Text Solution

    |

  4. If y = 500e^7x + 600e^-7x show that (d^2y/dx^2) = 49y

    Text Solution

    |

  5. If y = A sinx + B cosxthen prove that d^2y/dx^2 + y = 0

    Text Solution

    |

  6. Find the second order derivative of the following functions y = A co...

    Text Solution

    |

  7. Find the second order derivative of the following functions y = (log...

    Text Solution

    |

  8. Find the second order derivative of the following functions If y = a...

    Text Solution

    |

  9. Find the second order derivative of the following functions If y = (...

    Text Solution

    |

  10. Find the second order derivative of the following functions If y = c...

    Text Solution

    |

  11. If y = tan^-1 x, show that : (1+x^2) d^2y/dx^2+ 2x dy/dx=0

    Text Solution

    |

  12. Find the second order derivative of the following functions If y = (...

    Text Solution

    |

  13. Find the second order derivative of the following functions If y = l...

    Text Solution

    |

  14. If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0

    Text Solution

    |

  15. Find the second order derivative of the following functions If y = s...

    Text Solution

    |

  16. Find the second order derivative of the following functions If y = e...

    Text Solution

    |

  17. If y = e^(2tan^-1 x), then show that (1+x^2)^2 (d^2y)/(dx^2) + 2x(1+x^...

    Text Solution

    |

  18. Find (d^2y)/(dx^2) in the following x = a cos^3 theta, y = a sin^3 t...

    Text Solution

    |

  19. If x = a(cost + t sint) and y = a(sint - tcost), find (d^2y)/dx^2

    Text Solution

    |

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

    Text Solution

    |