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Product Rule and then the Chain Rule

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Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.

1. If the marginal profit function is positive at x=a, then it makes sense to increase the level of production.

2. If f and g are differentiable and f(x)g(y) = 0, then

dy/dx = - f '(x)g(y) / f(x)g'(y) where (fx) and g'(y) can not equal 0.

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Solution Summary

Product Rule and then the Chain Rule are integrated.

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1. The statement is true. The marginal revenue is the derivative of the revenue with respect to production output. Or, in plain terms, the revenue ...

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