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Application Of Derivatives

Question

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x² +36x + 5. Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

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Solution

straight R left parenthesis straight x right parenthesis space equals space 3 straight x squared plus 36 straight x plus 5 space space space space space space space space rightwards double arrow space space space space straight R space equals space 3 straight x squared plus 36 straight x plus 5

MR space equals space dR over dx space equals space 6 straight x plus 36

WiredFaculty

therefore space space space space space space space required space marginal space revenue space equals space Rs space 66.