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Derivatives and Product Rules

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In order to sell q meters of photographic film per day (wher q>0) the manufacturer must set its price at
p(q) = q^(1/4) e(-q/12) dollars per meter sold.
Find the manufacturer's marginal revenue as a function of q.


Solution Preview

First we note that the product rule of derivatives says that when y is a product of two functions of x, that is, if

y = f(x)g(x), then dy/dx = ...

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