Question: Find the derivative and simplify.StartFraction d Over dx EndFraction StartFraction ln left parenthesis 6 plus x right parenthesis Over x Superscript 9 EndFractionddxln(6+x)x9Question content area
Find the derivative and simplify.StartFraction d Over dx EndFraction StartFraction ln left parenthesis 6 plus x right parenthesis Over x Superscript 9 EndFractionddxln(6+x)x9Question content area bottomPart 1Choose the correct answer below.A.StartFraction 9 left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis minus x Over x Superscript 10 Baseline left parenthesis 6 plus x right parenthesis EndFractionStartFraction 9 left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis minus x Over x Superscript 10 Baseline left parenthesis 6 plus x right parenthesis EndFraction9(6+x)ln(6+x)xx10(6+x)B.StartFraction 54 x Superscript 8 Baseline left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis minus 1 Over 6 x Superscript 9 Baseline left parenthesis 6 plus x right parenthesis EndFractionStartFraction 54 x Superscript 8 Baseline left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis minus 1 Over 6 x Superscript 9 Baseline left parenthesis 6 plus x right parenthesis EndFraction54x8(6+x)ln(6+x)16x9(6+x)C.StartFraction 1 minus 54 x Superscript 8 Baseline left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis Over 6 x Superscript 9 Baseline left parenthesis 6 plus x right parenthesis EndFractionStartFraction 1 minus 54 x Superscript 8 Baseline left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis Over 6 x Superscript 9 Baseline left parenthesis 6 plus x right parenthesis EndFraction154x8(6+x)ln(6+x)6x9(6+x)D.StartFraction x minus 9 left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis Over x Superscript 10 Baseline left parenthesis 6 plus x right parenthesis EndFractionStartFraction x minus 9 left parenthesis 6 plus x right parenthesis ln left parenthesis 6 plus x right parenthesis Over x Superscript 10 Baseline left parenthesis 6 plus x right parenthesis EndFractionx9(6+x)ln(6+x)x10(6+x)
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