- #1

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## Homework Statement

If w = w(x, y, z) is given implicitly by F(x, y, z, w) = 0, find a formula

for both ∂w/∂z and ∂^2w/∂y∂z . You may assume that each function is sufficiently

differentiable and anything you divide by during the process of your

solution is non-zero.

## The Attempt at a Solution

I know in class, my professor showed us how to implicitly differentiate using this method where if y = y(x) and F(x,y) = 0, you can do dF/dx = ∂F/∂x + ∂F/∂y*dy/dx = 0 and dy/dx = -(∂F/∂x)/(∂F/∂y),

Is this the kind of formula my professor wants us to find?