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प्रश्न
The rate of change of demand (x) of a commodity with respect to its price (y) is ______ if y = xe–x + 7
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उत्तर
`"e"^x/(1 - x)`
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संबंधित प्रश्न
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What is the rate of change of demand (x) of a commodity with respect to its price (y) if y = `(3x + 7)/(2x^2 + 5)`
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Solution: Let y = 20 + 15x + x3
Diff. w.r.to x, we get
`("d"y)/("d"x) = square + square + square`
∴ `("d"y)/("d"x)` = 15 + 3x2
∴ By derivative of the inverse function,
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∴ Rate of change of demand with respect to price = `1/(square + square)`
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