Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find the value of dy / dx at the given point.

x³ - 2y² + xy = 0, (1, 1)

Transcribed Image Text:

THEOREM 8-A Formula for Implicit Differentiation Suppose that F(x, y) is differentiable and that the equation F(x, y) = 0 defines y as a differentiable func- tion of x. Then at any point where F, # 0, dy dx Fx F (1)