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April 21, 2014

Homework Help: A big one!

Posted by Jen on Friday, October 20, 2006 at 9:15pm.

Using logarithmic differentiate technique, find dy/dx

y = [(x-3)(x+1) / (2x+5)] raised to the power of 1/5

I don't know how to type this. It is the 5th root of all those.


You have
y = [(x-3)(x+1) / (2x+5)]1/5
so
ln y = (1/5)ln([(x-3)(x+1) / (2x+5)] =
(1/5){ln([(x-3)(x+1)) - ln(2x+5)}=
(1/5){3ln(x-3) + ln(x+1) - 3ln(2x+5)}
Now find dy/dx and exponentiate your result to get the final result.

I hope I read your superscripts right, they're a little small for me.

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