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Use logarithmic differentiation to find the derivative of the function

0 votes
y=(lnx)^(1/x)
asked Mar 9, 2015 in CALCULUS by anonymous
reshown Mar 9, 2015 by steve

1 Answer

0 votes

Step 1:

The function is image.

Apply logarithm on each side.

image

Use power rule of logarithm : image.

image

Now apply derivative on each side with respect to image.

image

image

Use product rule of derivative : image.

Use logarithmic differentiation : image.

image

image                  ( Since image)

image

Solution :

image.

answered Mar 9, 2015 by joseph Apprentice

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