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Math Help - Derivatives

  1. #1
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    Derivatives

    I have two questions regarding derivatives of inverse trigonometric functions

    A) Show that dy/dx =(x + y)/(x - y) if arctan(y/x) = log|sqrt(x^2 + y^2)|

    B) Compute the second derivative of y = (arcsin x)/ sqrt(1 -x^2) for |x|<1.


    Thanks a bunch for the help
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ClipsClips99 View Post
    I have two questions regarding derivatives of inverse trigonometric functions

    A) Show that dy/dx =(x + y)/(x - y) if arctan(y/x) = log|sqrt(x^2 + y^2)|
    Here's the first
    Attached Thumbnails Attached Thumbnails Derivatives-quest1.gif  
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ClipsClips99 View Post

    B) Compute the second derivative of y = (arcsin x)/ sqrt(1 -x^2) for |x|<1.
    Here's the second
    Attached Thumbnails Attached Thumbnails Derivatives-quest2.gif  
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