Choose the correct alternatives: What is the rate of change of demand (x) of a commodity with respect to its price (y) if y = 3x+72x2+5 - Mathematics and Statistics

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MCQ

Choose the correct alternative:

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)`

Options

  • `(2x^2 + 5)^2/((-6x^2 - 38x + 15))`

  • `(2x^2 + 5)^2/((-6x^2 - 28x + 15))`

  • `(2x^2 + 5)^2/((6x^2 - 28x + 15))`

  • `(2x^2 + 5)^2/((6x^2 - 38x + 15))`

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Solution

`(2x^2 + 5)^2/((-6x^2 - 28x + 15))`

Concept: Derivatives of Inverse Functions
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Chapter 1.3: Differentiation - Q.1

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