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anonymous
 5 years ago
HELP !
g(x) = arctanh (log x)
Solve for g'(x) and find values for x for which g'(x) is defined .
anonymous
 5 years ago
HELP ! g(x) = arctanh (log x) Solve for g'(x) and find values for x for which g'(x) is defined .

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx} \tanh^{1} (x) = \frac{1}{1x^2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u= ln(x) du/dx= (1/x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by chain rules \[\frac{d}{dx} \tanh^{1} (\ln(x) ) = \frac{1}{1(\ln(x))^2} \times \frac{1}{x}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the derivative is not defined when the denominator is zero

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so when x=0 , or when 1[ln(x)]^2 =0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ln(x) = + 1 so not defined when \[x=0, \frac{1}{e} , e \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks ! you're awesome ! :D
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