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anonymous
 3 years ago
Find the derivative of y with respect to x, t or theta as appropriate
(b) y= ln((1x)/(x+5)^3)
anonymous
 3 years ago
Find the derivative of y with respect to x, t or theta as appropriate (b) y= ln((1x)/(x+5)^3)

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the answer is 2x8 / (x+5)(1x) i tried the quotient rule but couldnt get the answer can u show how to do it? thanks

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you break the ln into 2 parts. because it is a quotient. so the right side = ln ((1x)  ln (x+5)^3 . and then take derivative as usual, part to part. try that way.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0don't forget ln(x+5)^3 = 3ln(x+5). I checked and it works.

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1use some log laws to simplify the question \[\ln(\frac{1x}{(x + 5)^3}) = \ln(1  x)  3\ln(x + 5)\] once you get the derivatives... to simplify you will need a common denominator of (1  x)(x + 5) cross multiply for the numerators.
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