x^4 + 4x^2y^3 + y^2 = 2y4x^3 + 8xy^3 + 12x^2y^2 * dy/dx + 2y*dy/dx = 2*dy/dxdy/dx * (12x^2y^2 + 2y – 1) = -4x^3 – 8xy^3dy/dx = (-4x^3 – 8xy^3)/(12x^2y^2 + 2y – 2)At the point (1, -1)dy/dx = (-4(1)^3 – 8(1)(-1)^3)/(12(1)^2(-1)^2 + 2(-1) – 2)dy/dx = (-4 + 8)/(12 – 2 – 2) = 4/8dy/dx = 1/2The correct answer choice is (d) 1/2.This was the same exact question, yet you did it twice and came up with two different answers. For this, you will not receive the ‘best Answer’ for failing to answer the question as needed.Eat it PIG and you look like a pig from the picture so that kinda explains why your math is so sloppy. You should be ashamed, I am reporting you to the site for being a fraud. Then you do this The correct answer choice is (b) 0. Please see the attached document for the work associated with finding this answer. P.s the university went is unaccreddited