Find the slope of the graph of the function at the given point. (If an answer is undefined, enter UNDEFINED.)

x^3 + y^3 = 14xy, (7, 7)

1 answer

find dy/dx at (7.7)

3x^2 dx+3y^2 dy=14(ydx+xdy)

dy/dx(3y^2-14x)=14y-3x^2

check that, I did the algebra in my head.

dy/dx= 108-147 / 147-98

check that, it was in my head also.