Use the Equation $\frac { d y } { d x } = - \frac { \frac { \partial F } { \partial x } } { \frac { \partial F } { \partial y } } = - \frac { F _ { x } } { F _ { y } }$

question 60

Multiple Choice

Use the equation $\frac { d y } { d x } = - \frac { \frac { \partial F } { \partial x } } { \frac { \partial F } { \partial y } } = - \frac { F _ { x } } { F _ { y } }$ to find $\frac { d y } { d x }$ . $\cos ( x - 8 y ) = x e ^ { 4 y }$

• A)
• \[\frac { d y } { d x } = \frac { \sin ( x - 8 y ) + e ^ { 4 y } } { \sin ( x - 8 y ) - x e ^ { 4 y } }\]
• B)
• \[\frac { d y } { d x } = \frac { \sin ( x - y ) + e ^ { 4 y } } { \sin ( x - y ) - x e ^ { y } }\]
• C)
• \[\frac { d y } { d x } = \frac { 8 \sin ( x - y ) + e ^ { 4 y } } { \sin ( x - 8 y ) - 8 x e ^ { y } }\]
• D)
• \[\frac { d y } { d x } = \frac { \sin ( x - y ) + e ^ { 4 y } } { 8 \sin ( x - 8 y ) - x e ^ { 4 y } }\]
• E)
• \[\frac { d y } { d x } = \frac { \sin ( x - 8 y ) + e ^ { 4 y } } { 8 \sin ( x - 8 y ) - 4 x e ^ { 4 y } }\]

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