The tangent line to the curve x3+y3−9xy=0 at the point (2,4) intersects the y-axis at y=...

Answer 1

3x²+3y²(dy/dx)-9 (dy/dx)-9y=0

dy/dx=(94-3x²)/(3y²-9x) and at (2,4) dy/dx=4/5

The tangent is 4/5=(y-4)/(x-2)