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Use Implicit Differentiation to Find an Equation of the Tangent ysin3x=xcos3y,(π3,π6)y \sin 3 x = x \cos 3 y , \left( \frac { \pi } { 3 } , \frac { \pi } { 6 } \right)

Question 72

Multiple Choice

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
ysin3x=xcos3y,(π3,π6) y \sin 3 x = x \cos 3 y , \left( \frac { \pi } { 3 } , \frac { \pi } { 6 } \right)


A) y=x2y = \frac { x } { 2 }
B) y=2x3π3y = 2 x - \frac { 3 \pi } { 3 }
C) y=x2+π2y = - \frac { x } { 2 } + \frac { \pi } { 2 }
D) y=x6y = \frac { x } { 6 }
E) y=x3+π6y = \frac { x } { 3 } + \frac { \pi } { 6 }

Correct Answer:

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