Science:Math Exam Resources/Courses/MATH110/April 2019/Question 04 (a)/Hint 1

Take the derivative of both sides of the equation with respect to $x$ and then solve for $y^{\prime }=\frac{dy}{dx}$.

$\frac{d}{dx}(4x^3+x(y-3)+(y-3{)}^3)=\frac{d}{dx}(32).$