Use implicit differentiation to find y’ of x^2 + y^2 = 8 at (2,2) and at (-2,2) (it may be helpful to look at the graph)

Answer 1

x² + y² = 8

2x + 2y(dy/dx) = 0

dy/dx = -x/y

At (2,2), dy/dx = -1 and at (-2,2), dy/dx = 1.