Question

apply the chain rule for implicit differentiation to find ∂w/∂x. ∂w/∂x = - fx/fw

Explanation:

Step1: Recall implicit - differentiation formula

The formula for implicit differentiation using the chain - rule for $F(x,w) = 0$ is $\frac{\partial w}{\partial x}=-\frac{F_x}{F_w}$, where $F_x=\frac{\partial F}{\partial x}$ and $F_w=\frac{\partial F}{\partial w}$.

Answer:

$-\frac{F_x}{F_w}$