Suppose the variables x {\displaystyle x} and y {\displaystyle y} are related by the equation
4 x 3 + x ( y − 3 ) + ( y − 3 ) 3 = 32. {\displaystyle 4x^{3}+x(y-3)+(y-3)^{3}=32.}
Find d y d x {\displaystyle {\frac {dy}{dx}}} .
