Use Implicit Differentiation to Find an Equation of the Tangent $y \sin 3 x = x \cos 3 y , \left( \frac { \pi } { 3 } , \frac { \pi } { 6 } \right)$

question 69

Multiple Choice

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $y \sin 3 x = x \cos 3 y , \left( \frac { \pi } { 3 } , \frac { \pi } { 6 } \right)$

• A) \(y = \frac { x } { 2 }\)
• B) \(y = 2 x - \frac { 3 \pi } { 3 }\)
• C) \(y = - \frac { x } { 2 } + \frac { \pi } { 2 }\)
• D) \(y = \frac { x } { 6 }\)
• E) \(y = \frac { x } { 3 } + \frac { \pi } { 6 }\)