anonymous
  • anonymous
Find the derivative of y with respect to x,t or theta as appropriate. (a) y= ln(x)/x^6 (b) y= ln((1-x)/(x+5)^3)
Calculus1
chestercat
  • chestercat
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AravindG
  • AravindG
(a) use quotient rule
anonymous
  • anonymous
what do you do after that
AravindG
  • AravindG
simplify if needed

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anonymous
  • anonymous
thanks
AravindG
  • AravindG
yw :)
anonymous
  • anonymous
i got (x^6(ln) - ln(x) (6x^5))/x^12 the answer is 1-6ln(x)/x^7 im stuck with simplifying
anonymous
  • anonymous
i would always change those equations into product rule
anonymous
  • anonymous
\[y = \ln(x).x^{-6}\]
anonymous
  • anonymous
\[=x^{-1}x^{-6}-6x^{-7}\ln(x)\]
anonymous
  • anonymous
\[=x^{-7}-6x^{-7}\ln(x)=x^{-7}(1-6\ln(x))\]
anonymous
  • anonymous
as for the 2nd problem the answer would be
anonymous
  • anonymous
=[-1/(1-x)(x+5)^3] -[3ln(1-x)/(x+5)^4]
anonymous
  • anonymous
thank you

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