anonymous
  • anonymous
Find the derivative of y with respect to x, t or theta as appropriate (b) y= ln((1-x)/(x+5)^3)
Mathematics
chestercat
  • chestercat
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abb0t
  • abb0t
use quotient rule.
anonymous
  • anonymous
the answer is 2x-8 / (x+5)(1-x) i tried the quotient rule but couldnt get the answer can u show how to do it? thanks
anonymous
  • anonymous
you break the ln into 2 parts. because it is a quotient. so the right side = ln ((1-x) - ln (x+5)^3 . and then take derivative as usual, part to part. try that way.

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anonymous
  • anonymous
don't forget ln(x+5)^3 = 3ln(x+5). I checked and it works.
campbell_st
  • campbell_st
use some log laws to simplify the question \[\ln(\frac{1-x}{(x + 5)^3}) = \ln(1 - x) - 3\ln(x + 5)\] 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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