Phương pháp giải:

\({\left( {\dfrac{u}{v}} \right)^\prime } = \dfrac{{u'.v - v'.u}}{{{v^2}}}\)

Lời giải chi tiết:

\(\begin{array}{l}y' = \dfrac{{\left( {2x - 3} \right)'.\left( {3x - 2} \right) - \left( {3x - 2} \right)'\left( {2x - 3} \right)}}{{{{\left( {3x - 2} \right)}^2}}}\\ = \dfrac{{2.\left( {3x - 2} \right) - 3.\left( {2x - 3} \right)}}{{{{\left( {3x - 2} \right)}^2}}}\\ = \dfrac{5}{{{{\left( {3x - 2} \right)}^2}}}\end{array}\)