Question: Suppose that w = x 2 - y 2 + 4z + t and x + 2z + t = 25. Show that the equations

Suppose that w = x² - y² + 4z + t and x + 2z + t = 25. Show that the equations dw ax = = 2x 1 and aw ax = = 2x2

each give ∂w/∂x, depending on which variables are chosen to be dependent and which variables are chosen to be independent. Identify the independent variables in each case.

dw ax = = 2x 1 and aw ax = = 2x2

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