मराठी

The demand (D) of biscuits at price P is given by D = 64P3, find the marginal demand when price is Rs. 4/-.

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प्रश्न

The demand (D) of biscuits at price P is given by D = `64/"P"^3`, find the marginal demand when price is Rs. 4/-.

बेरीज
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उत्तर

Given demand D =`64/"P"^3`

Now, marginal demand = `("dD")/("dP")`

=`"d"/("dP")(64/"P"^3)`

= `64"d"/("dP")("P"^-3)`

= 64 (– 3) P– 4

= `(-192)/"P"^4`

When P = 4
Marginal demand =`(("dD")/("dP"))_("P"=4)`

= `(-192)/(4)^4`

= `(-192)/256`

= `(-3)/4`

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Rules of Differentiation (Without Proof)
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पाठ 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२४]

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बालभारती Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
पाठ 9 Differentiation
Miscellaneous Exercise 9 | Q III. (2) | पृष्ठ १२४

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