Derivation of the Marginal Revenue Formula
A firm's total revenue (R) is the product of the price it charges (P) and the quantity it sells (Q). The price is not fixed but is determined by the market's inverse demand function, P = f(Q). Explain, step-by-step, how to derive the general algebraic formula for marginal revenue (MR) from the total revenue function. Your explanation should explicitly state which rule of differentiation is necessary and why.
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