Use implicit differentiation to find the slope of the tangent line to the curve at the point (1,3)

Question

-4x^2+4xy-2y^3=-46

m=____?

ty guys so much!

Answer 1

-8x + 4x dy/dx + 4y - 6y^2 dy/dx = 0
dy/dx(4x - 6y^2) = 8x - 4y
dy/dx = (4x - 2y)/(2x - 3y^2)

plug in x = 1 and y = 3 to find the slope