Find dy dx by implicit differentiation x ln y plus y equals x Superscript 5 Baseline y Superscript 6 xlny y x 5 y 6 Question content area bottom Part 1 A StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus 1 EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus 1 EndFractiondydx 5 x 4 y 7 lnyx 6 x 5 y 6 1 B StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 6 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 6 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFractiondydx 5 x 4 y 6 lnyx 6 x 5 y 6 y C StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y minus 1 Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y minus 1 Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFractiondydx 5 x 4 y 7 ylny 1 x 6 x 5 y 6 y D StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction

Question

Find dy   dx by implicit differentiation  x ln y plus y equals x Superscript 5 Baseline y Superscript 6 xlny   y   x 5 y 6 Question content area bottom Part 1 A   StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus 1 EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus 1 EndFractiondydx   5 x 4 y 7 lnyx 6 x 5 y 6   1 B   StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 6 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 6 Baseline minus ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFractiondydx   5 x 4 y 6 lnyx 6 x 5 y 6   y C   StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y minus 1 Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y minus 1 Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFractiondydx   5 x 4 y 7 ylny 1 x 6 x 5 y 6   y D   StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction StartFraction dy Over dx EndFraction equals StartFraction 5 x Superscript 4 Baseline y Superscript 7 Baseline minus y ln y Over x minus 6 x Superscript 5 Baseline y Superscript 6 Baseline plus y EndFraction

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Find dy / dx by implicit differentiation. x ln y plus y equals x Superscript 5 Baseline y Superscript 6 xlny + y = x

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