Suppose that production q, capital k and labour 1 satisfy g(q, k, 1) = O. In other words, the production function q(k, I) is defined implicitly, and it satisfies g(q(k, I),k, 1) = 0 identically. How do you think we might calculate the partial derivatives  in a manner similar to that developed in this chapter for functions g of only two variables? Illustrate your method by working out the partial derivatives when q is

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