Let f(x, y) be a differentiable function in the variables x and y. Let r and...

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Let f(x, y) be a differentiable function in the variables x and y. Let r and the polar coordinates, and set g(r,0) = f(r cos 0, r sin() in other words g is f in terms of polar coordinates. Suppose that it is known that fr(2, 2) = 1 and fy(2, 2) = 3. Use the chain rule in order to compute the partial derivative gr (2√2, π/4). Let f(x, y) be a differentiable function in the variables x and y. Let r and the polar coordinates, and set g(r,0) = f(r cos 0, r sin() in other words g is f in terms of polar coordinates. Suppose that it is known that fr(2, 2) = 1 and fy(2, 2) = 3. Use the chain rule in order to compute the partial derivative gr (2√2, π/4).

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