What is the first and second derivative of ln(1-x)
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What is the first and second derivative of ln(1-x)

[From: ] [author: ] [Date: 12-12-04] [Hit: ]
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the first derivative of ln (1-x) is -1/(1-x). we then simplify that to get the first derivative = 1/(x-1).... (the negative in the first part comes from applying chain rule)

we then use 1/(x-1) to take the second derivative. look at it like this:
(x-1)^-1

then take derivative:
-1(x-1)^-2

ans that simplifys to
-1/((x-1)^2)
1
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