Use Implicit Differentiation to Find Dy/dx $$\mathrm { e } ^ { 3 \mathrm { x } } = \sin ( \mathrm { x } + 2 \mathrm { y } )$$

question 303

Multiple Choice

Use implicit differentiation to find dy/dx.
- $$\mathrm { e } ^ { 3 \mathrm { x } } = \sin ( \mathrm { x } + 2 \mathrm { y } )$$

• A) \(\frac { d y } { d x } = \frac { - 3 e ^ { x } } { \sin ( x + 2 y ) }\)
• B) \(\frac { d y } { d x } = \frac { 3 e ^ { x } } { 2 \sin ( x + 2 y ) }\)
• C) \(\frac { d y } { d x } = \frac { 6 e ^ { x } } { \sin ( x + 2 y ) }\)
• D) \(\frac { d y } { d x } = - \frac { 3 e ^ { x } } { 2 \sin ( x + 2 y ) }\)

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