Question

consider the curve defined by 3x^4y-7x^4-2y+4y^3=-3
a. write an equation of each horizontal tangent line to the curve. Justify your answer

Answer 1

\[\large 3x^4y-7x^4-2y+4y^3=-3\] is this equation correct?

Answer 2

yes! the derivative is Dy/Dx= (-12x^3y+28x^3)/(3x^4-2+12y^2)