If g(x)=arctanh (logx), find g′(x). I tried to separate the terms first and I got 1/2(log(1+logx)−log(1−logx)). The answer is 1/(x(1-\log x)^2)

Flambergru

Flambergru

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2022-08-18

If g ( x ) = arctanh   ( log x ), find g ( x )
I tried to separate the terms first and I got 1 2 ( log ( 1 + log x ) log ( 1 log x ) )
The answer is 1 x ( 1 log x ) 2

Answer & Explanation

Leroy Cunningham

Leroy Cunningham

Beginner2022-08-19Added 14 answers

HINT :
Let y = log x, then you have g = arctanh   y. Apply chain rule
d g d x = d g d y d y d x .

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