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April 18, 2014

April 18, 2014

Posted by **Phillip** on Thursday, October 18, 2012 at 12:28pm.

ln(f(x))=lnx^1/2x or lnx to the 1/2x

1/2x lnx

product rule

(1/4x^2)(lnx)+(1/x)(1/2x)

is the product rule correct?

What do i do after this product rule?

- College Calc -
**Steve**, Thursday, October 18, 2012 at 3:08pmy = √(x^(1/x)) = x^(1/2x)

ln y = 1/(2x) ln x

1/y y' = -1/(2x^2) lnx + 1/(2x)(1/x)

1/y y' = (1-lnx)/(2x^2)

y' = (1-lnx)y/(2x^2)

= (1-lnx) √(x^(1/x))/(2x^2)

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