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
JG
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