If $( x + y ) ^ { 2 } = ( 2 x + 3 ) ^ { 3 }$

question 50

Multiple Choice

If $( x + y ) ^ { 2 } = ( 2 x + 3 ) ^ { 3 }$ , use implicit differentiation to find $\frac { d y } { d x }$ .

• A) \(\frac { 3 ( 2 x + 3 ) ^ { 2 } } { x + y }\)
• B) \(\frac { 3 ( 2 x + 3 ) ^ { 2 } - x - y } { x + y }\)
• C) \(\frac { 1 - 2 x - 2 y } { 2 x + 2 y }\)
• D) \(\frac { 6 ( 2 x + 3 ) ^ { 2 } } { ( x + y ) ^ { 2 } }\)

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