Question

Suppose the demand for a certain item is given by D(p) = -2p^2 + 7p + 8, where p represents the price of the item in dollars. Currently, the price of the item is $9. Use marginal demand to estimate the change in demand when the price is increased by one dollar.

          Suppose the demand for a certain item is given by D(p) = -2p^2 + 7p + 8, where p represents the price of the item in dollars. Currently, the price of the item is $9. Use marginal demand to estimate the change in demand when the price is increased by one dollar.
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Suppose the demand for a certain item is given by D(p) = -2p^2 + 7p + 8, where p represents the price of the item in dollars. Currently, the price of the item is $9. Use marginal demand to estimate the change in demand when the price is increased by one dollar.
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Transcript

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00:01 We have been given that d p is equal to what? this is minus 2 p square plus 7p plus 8 right.
00:11 So now first let's find the marginal cost.
00:13 So marginal cost is found out by differentiating this function over here.
00:17 So therefore you will have d dash p is equal to what.
00:22 Now see i am differentiating this with respect to p...
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