THEATER 10 Chapter 5: theater10ch5

Use the Chain Rule to find the indicated partial derivatives.
z = x^3 + xy^2, x = uv^2 + w^3, y = u + v*e^w

[(partial z)/(partial u), (partial z)/(partial v), (partial z)/(partial w)] when u = 2, v = 1, w = 0
[(partial z)/(partial u)] = ?

[(partial z)/(partial v)] = ?

[(partial z)/(partial w)] =?

Locate and classify any critical points. (Round your numerical answers to three decimal places. Order your answers from smallest to largest w.)

h(w, z) = 0.7w² + 1.7z³ − 4.7wz