The curve C has equation 16*y^3 + 9*x^2*y - 54*x = 0 a)Find dy/dx in terms of x and y

16y³ + 9x²y - 54x= 0 
a) Differentiate the terms separately dy/dx(16y³ + 9x²y - 54x) = dy/dx(16y³) + dy/dx(9x²y) - dy/dx(54x) = 48y²(dy/dx) + 18xy + 9x²(dy/dx) - 54 Implicit differentiation, treating y as a function of xdy/dx = (54 - 18xy)/(48y²+ 9x²) Factor out dy/dx and then cross multiply