Question: The graph of the function w = (x, y) is shown below. (a) Assume that x and y are functions of a single variable r.

The graph of the function w = ƒ(x, y) is shown below.

-2 X 2 2

(a) Assume that x and y are functions of a single variable r. Give the chain rule for finding dw/dr.

(b) Assume that x and y are functions of two variables r and θ. Give the chain rule for finding ∂w/∂r and
∂w/∂θ.

-2 X 2 2

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