Use Implicit Differentiation to Find an Equation of the Tangent $y \sin 7 x = x \cos 7 y , \left( \frac { \pi } { 7 } , \frac { \pi } { 14 } \right)$

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $y \sin 7 x = x \cos 7 y , \left( \frac { \pi } { 7 } , \frac { \pi } { 14 } \right)$

A) $y = \frac { x } { 7 } + \frac { \pi } { 14 }$
B) $y = \frac { x } { 7 }$
C) $y = - \frac { x } { 2 } + \frac { \pi } { 2 }$
D) $y = \frac { x } { 14 }$
E) $y = 2 x - \frac { 3 \pi } { 7 }$

Correct Answer:

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