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Math Help - differentiation

  1. #1
    Super Member
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    differentiation

    how do you differentiate

    y = x/ ( a^2 - x^2) ^(1/2) - arcsin (x-a)

    i tried to differentiate and i got

    y' = a^2 / ( a^2- x^2) ^(3/2) - 1/ ( (1-(x-a)^2)^(1/2)

    when the answer should be x^2 / ( a^2- x^2) ^(3/2)

    may i know how i can continue from where i am stuck at?

    thanks
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Check your original question

    if y = x/ ( a^2 - x^2) ^(1/2) - arcsin (x-a)

    then you are right


    however if y = x/ ( a^2 - x^2) ^(1/2) - arcsin (x/a)

    dy/dx = x^2 / ( a^2- x^2) ^(3/2)

    See attachment
    Attached Thumbnails Attached Thumbnails differentiation-derivative.jpg  
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