Why is the marginal return curve twice as steep as the average revenue curve in microeconomics firm theory?

The average revenue is the demand curve, revenue is calculated by q*p, so (a+q)q = aq-q^2, the marginal revenue is the rate of change in the revenue so if we differentiate wrt q, we get a-2q, which illustrates by the gradient, it is twice as steep.

JN

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