Home
Class 12
MATHS
Find the second order derivatives of the...

Find the second order derivatives of the function : `tan^-1x`

Text Solution

Verified by Experts

The correct Answer is:
`(-2x)/((1 + x^2)^2) `
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

Find the second order derivatives of the function: x^20

Find the second order derivatives of the function : logx

Find the second order derivatives of the function : x^2+3x+2

Find the second order derivatives of the function : x^3logx

Find the second order derivative of the function x.cosx

Find the second order derivatives of the function : e^x sin5x

Find the second order derivatives of the function : sin(logx)

Find the second order derivatives of the function : e^(6x )cos3x

Find the second order derivatives of the function : x cdot cosx

Find the second order derivatives of the function : log(logx)

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION X)(SHORT ANSWER TYPE QUESTIONS)
  1. Find the second order derivatives of the function : tan^-1x

    Text Solution

    |

  2. Find the second order derivative of the following functions x^3 log ...

    Text Solution

    |

  3. Find the second order derivative of the following functions e^x sin ...

    Text Solution

    |

  4. Find the second order derivative of the following functions If y = x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |