Question

Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 + 4 xy + 2 y^3 = -80 at the point ( -2,-4 ).

Answer 1

as you probably know, to find the slope of the tangent line you take the derivative. where is it that you end up getting stuck?

Answer 2

(with implicit you are going to have 2 variables in your answer still. you just want dy/dx to equal something!)