anonymous
  • anonymous
find derivative: f(x)= ln (3x+1)^4/(2x-1)^3
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
is ln for the entire fraction or just for (3x+1)^4?
anonymous
  • anonymous
\[\ln \frac{ (3x+1)^{4} }{(2x-1)^{3} } = \ln(3x+1)^{4}- \ln(2x-1)^{3}\]
anonymous
  • anonymous
yes

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anonymous
  • anonymous
differentiate each one individually in the form of \[\frac{ f'(x) }{ f(x) }\]
anonymous
  • anonymous
and apply chain rule for each f'(x)
anonymous
  • anonymous
can you do it now?
anonymous
  • anonymous
im trying it now....thanks
anonymous
  • anonymous
\[\ln (3x+1)^4/\ln (2x-1)^3= \ln (3x+1)^4-\ln (2x-1)^3= 4*3\ln(3x+1)^3-2*2\ln (2x-1)^2 \]

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