Derivatives > derivative of ln(x+sqrt(x^2-1))
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ddx (ln(x+√x2−1))=1√x2−1 
 
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ddx (ln(x+√x2−1))=1√x2−1 
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    • ddx (ln(x+√x2−1))
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    Apply the chain rule:    1x+√x2−1 ddx (x+√x2−1)
    =1x+√x2−1 ddx (x+√x2−1)
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    ddx (x+√x2−1)=1+x√x2−1 
    =1x+√x2−1 (1+x√x2−1 )
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    Simplify 1x+√x2−1 (1+x√x2−1 ):    1√x2−1 
    =1√x2−1 

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