pw333125
find derivative: f(x)= ln (3x+1)^4/(2x1)^3



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irkiz
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is ln for the entire fraction or just for (3x+1)^4?

irkiz
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\[\ln \frac{ (3x+1)^{4} }{(2x1)^{3} } = \ln(3x+1)^{4} \ln(2x1)^{3}\]

pw333125
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yes

irkiz
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differentiate each one individually in the form of \[\frac{ f'(x) }{ f(x) }\]

irkiz
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and apply chain rule for each f'(x)

irkiz
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can you do it now?

pw333125
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im trying it now....thanks

jishan
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\[\ln (3x+1)^4/\ln (2x1)^3= \ln (3x+1)^4\ln (2x1)^3= 4*3\ln(3x+1)^32*2\ln (2x1)^2 \]