Use implicit differentiation to find dy/dx.
-$$y \cos \left( \frac { 1 } { y } \right) = 4 x + 4 y$$
A) $\frac { 4 } { \sin \left( \frac { 1 } { y } \right) + y \cos \left( \frac { 1 } { y } \right) - 4 }$
B) $\frac { 4 y ^ { 2 } } { \sin \left( \frac { 1 } { y } \right) - 4 y ^ { 2 } }$
C) $\frac { 4 y } { \sin \left( \frac { 1 } { y } \right) + y \cos \left( \frac { 1 } { y } \right) - 4 y }$
D) $\frac { 4 - y \sin \left( \frac { 1 } { y } \right) } { \cos \left( \frac { 1 } { y } \right) - 4 }$

Question

Quizplus · Accepted Answer

Implicit differentiation of the given equation with respect to x and solving for dy/dx gives the expression in choice C.

Use Implicit Differentiation to Find Dy/dx ycos⁡(1y)=4x+4yy \cos \left( \frac { 1 } { y } \right) = 4 x + 4 yycos(y1​)=4x+4y

Use Implicit Differentiation to Find Dy/dx $y \cos \left( \frac { 1 } { y } \right) = 4 x + 4 y$