Question

USE IMPLICIT X^3-2XY+Y^2=4 (1,-1)

Answer 1

3x^2 - 2x(dy/dx) - 2y + 2y(dy/dx) = 0
(dy/dx)(-2x + 2y) = 2y - 3x^2
dy/dx = (2y - 3x^2)/(2y - 2x), then plug in
dy/dx = -5/-4 = 5/4

You can plug in the values before isolating the derivative on one side and it would be quicker, but oh well.

Answer 2

SO PLUG IN (1,-1) in (2y-3x^2)/(2y-2x)

Answer 3

Yea

Answer 4

thank you so much